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Finding the Third Proportional to 177,510 and 387,545

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Solution

The third proportional to 177,510 and 387,545 is: 846,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,510 : 387,545 = 387,545 : x
  2. Step 2: Convert to fraction form
    177,510/387,545 = 387,545/x
  3. Step 3: Cross multiply
    177,510x = 387,545 × 387,545
  4. Step 4: Simplify right side
    177,510x = 150,191,127,025
  5. Step 5: Solve for x
    x = 150,191,127,025/177,510
  6. Step 6: Final answer
    x = 846,099.53

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Why These Related Problems?

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