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Finding the Third Proportional to 316,163 and 482,123

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Solution

The third proportional to 316,163 and 482,123 is: 735,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,163 : 482,123 = 482,123 : x
  2. Step 2: Convert to fraction form
    316,163/482,123 = 482,123/x
  3. Step 3: Cross multiply
    316,163x = 482,123 × 482,123
  4. Step 4: Simplify right side
    316,163x = 232,442,587,129
  5. Step 5: Solve for x
    x = 232,442,587,129/316,163
  6. Step 6: Final answer
    x = 735,198.58

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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.