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Finding the Third Proportional to 217,476 and 325,201.50

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Solution

The third proportional to 217,476 and 325,201.50 is: 486,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476 : 325,201.50 = 325,201.50 : x
  2. Step 2: Convert to fraction form
    217,476/325,201.50 = 325,201.50/x
  3. Step 3: Cross multiply
    217,476x = 325,201.50 × 325,201.50
  4. Step 4: Simplify right side
    217,476x = 105,756,015,602.25
  5. Step 5: Solve for x
    x = 105,756,015,602.25/217,476
  6. Step 6: Final answer
    x = 486,288.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.