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Finding the Third Proportional to 118,319 and 258,472

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Solution

The third proportional to 118,319 and 258,472 is: 564,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,319 : 258,472 = 258,472 : x
  2. Step 2: Convert to fraction form
    118,319/258,472 = 258,472/x
  3. Step 3: Cross multiply
    118,319x = 258,472 × 258,472
  4. Step 4: Simplify right side
    118,319x = 66,807,774,784
  5. Step 5: Solve for x
    x = 66,807,774,784/118,319
  6. Step 6: Final answer
    x = 564,641.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.