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Finding the Third Proportional to 146,520 and 315,792

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Solution

The third proportional to 146,520 and 315,792 is: 680,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,520 : 315,792 = 315,792 : x
  2. Step 2: Convert to fraction form
    146,520/315,792 = 315,792/x
  3. Step 3: Cross multiply
    146,520x = 315,792 × 315,792
  4. Step 4: Simplify right side
    146,520x = 99,724,587,264
  5. Step 5: Solve for x
    x = 99,724,587,264/146,520
  6. Step 6: Final answer
    x = 680,620.99

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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.