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Finding the Third Proportional to 245,107.50 and 337,527

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Solution

The third proportional to 245,107.50 and 337,527 is: 464,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,107.50 : 337,527 = 337,527 : x
  2. Step 2: Convert to fraction form
    245,107.50/337,527 = 337,527/x
  3. Step 3: Cross multiply
    245,107.50x = 337,527 × 337,527
  4. Step 4: Simplify right side
    245,107.50x = 113,924,475,729
  5. Step 5: Solve for x
    x = 113,924,475,729/245,107.50
  6. Step 6: Final answer
    x = 464,793.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.