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Finding the Third Proportional to 208,063.75 and 314,282.75

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Solution

The third proportional to 208,063.75 and 314,282.75 is: 474,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.75 : 314,282.75 = 314,282.75 : x
  2. Step 2: Convert to fraction form
    208,063.75/314,282.75 = 314,282.75/x
  3. Step 3: Cross multiply
    208,063.75x = 314,282.75 × 314,282.75
  4. Step 4: Simplify right side
    208,063.75x = 98,773,646,947.56
  5. Step 5: Solve for x
    x = 98,773,646,947.56/208,063.75
  6. Step 6: Final answer
    x = 474,727.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.