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Finding the Third Proportional to 158,772 and 342,472

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Solution

The third proportional to 158,772 and 342,472 is: 738,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,772 : 342,472 = 342,472 : x
  2. Step 2: Convert to fraction form
    158,772/342,472 = 342,472/x
  3. Step 3: Cross multiply
    158,772x = 342,472 × 342,472
  4. Step 4: Simplify right side
    158,772x = 117,287,070,784
  5. Step 5: Solve for x
    x = 117,287,070,784/158,772
  6. Step 6: Final answer
    x = 738,713.82

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