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Finding the Third Proportional to 181,152 and 275,472

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Solution

The third proportional to 181,152 and 275,472 is: 418,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,152 : 275,472 = 275,472 : x
  2. Step 2: Convert to fraction form
    181,152/275,472 = 275,472/x
  3. Step 3: Cross multiply
    181,152x = 275,472 × 275,472
  4. Step 4: Simplify right side
    181,152x = 75,884,822,784
  5. Step 5: Solve for x
    x = 75,884,822,784/181,152
  6. Step 6: Final answer
    x = 418,901.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.