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Finding the Third Proportional to 155,632 and 347,552

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Solution

The third proportional to 155,632 and 347,552 is: 776,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,632 : 347,552 = 347,552 : x
  2. Step 2: Convert to fraction form
    155,632/347,552 = 347,552/x
  3. Step 3: Cross multiply
    155,632x = 347,552 × 347,552
  4. Step 4: Simplify right side
    155,632x = 120,792,392,704
  5. Step 5: Solve for x
    x = 120,792,392,704/155,632
  6. Step 6: Final answer
    x = 776,141.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.