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Finding the Third Proportional to 217,060.50 and 333,792

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Solution

The third proportional to 217,060.50 and 333,792 is: 513,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,060.50 : 333,792 = 333,792 : x
  2. Step 2: Convert to fraction form
    217,060.50/333,792 = 333,792/x
  3. Step 3: Cross multiply
    217,060.50x = 333,792 × 333,792
  4. Step 4: Simplify right side
    217,060.50x = 111,417,099,264
  5. Step 5: Solve for x
    x = 111,417,099,264/217,060.50
  6. Step 6: Final answer
    x = 513,299.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.