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Finding the Third Proportional to 217,966.50 and 339,862.50

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Solution

The third proportional to 217,966.50 and 339,862.50 is: 529,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,966.50 : 339,862.50 = 339,862.50 : x
  2. Step 2: Convert to fraction form
    217,966.50/339,862.50 = 339,862.50/x
  3. Step 3: Cross multiply
    217,966.50x = 339,862.50 × 339,862.50
  4. Step 4: Simplify right side
    217,966.50x = 115,506,518,906.25
  5. Step 5: Solve for x
    x = 115,506,518,906.25/217,966.50
  6. Step 6: Final answer
    x = 529,927.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.