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Finding the Third Proportional to 214,203.25 and 465,280.75

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Solution

The third proportional to 214,203.25 and 465,280.75 is: 1,010,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,203.25 : 465,280.75 = 465,280.75 : x
  2. Step 2: Convert to fraction form
    214,203.25/465,280.75 = 465,280.75/x
  3. Step 3: Cross multiply
    214,203.25x = 465,280.75 × 465,280.75
  4. Step 4: Simplify right side
    214,203.25x = 216,486,176,320.56
  5. Step 5: Solve for x
    x = 216,486,176,320.56/214,203.25
  6. Step 6: Final answer
    x = 1,010,657.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.