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Finding the Third Proportional to 181,572 and 288,849

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Solution

The third proportional to 181,572 and 288,849 is: 459,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,572 : 288,849 = 288,849 : x
  2. Step 2: Convert to fraction form
    181,572/288,849 = 288,849/x
  3. Step 3: Cross multiply
    181,572x = 288,849 × 288,849
  4. Step 4: Simplify right side
    181,572x = 83,433,744,801
  5. Step 5: Solve for x
    x = 83,433,744,801/181,572
  6. Step 6: Final answer
    x = 459,507.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.