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Finding the Third Proportional to 179,624 and 261,528

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Solution

The third proportional to 179,624 and 261,528 is: 380,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,624 : 261,528 = 261,528 : x
  2. Step 2: Convert to fraction form
    179,624/261,528 = 261,528/x
  3. Step 3: Cross multiply
    179,624x = 261,528 × 261,528
  4. Step 4: Simplify right side
    179,624x = 68,396,894,784
  5. Step 5: Solve for x
    x = 68,396,894,784/179,624
  6. Step 6: Final answer
    x = 380,778.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.