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Finding the Third Proportional to 102,532.50 and 221,422

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Solution

The third proportional to 102,532.50 and 221,422 is: 478,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.50 : 221,422 = 221,422 : x
  2. Step 2: Convert to fraction form
    102,532.50/221,422 = 221,422/x
  3. Step 3: Cross multiply
    102,532.50x = 221,422 × 221,422
  4. Step 4: Simplify right side
    102,532.50x = 49,027,702,084
  5. Step 5: Solve for x
    x = 49,027,702,084/102,532.50
  6. Step 6: Final answer
    x = 478,167.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.