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Finding the Third Proportional to 182,357 and 288,524

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Solution

The third proportional to 182,357 and 288,524 is: 456,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,357 : 288,524 = 288,524 : x
  2. Step 2: Convert to fraction form
    182,357/288,524 = 288,524/x
  3. Step 3: Cross multiply
    182,357x = 288,524 × 288,524
  4. Step 4: Simplify right side
    182,357x = 83,246,098,576
  5. Step 5: Solve for x
    x = 83,246,098,576/182,357
  6. Step 6: Final answer
    x = 456,500.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.