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Finding the Third Proportional to 316,156 and 482,113

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Solution

The third proportional to 316,156 and 482,113 is: 735,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,156 : 482,113 = 482,113 : x
  2. Step 2: Convert to fraction form
    316,156/482,113 = 482,113/x
  3. Step 3: Cross multiply
    316,156x = 482,113 × 482,113
  4. Step 4: Simplify right side
    316,156x = 232,432,944,769
  5. Step 5: Solve for x
    x = 232,432,944,769/316,156
  6. Step 6: Final answer
    x = 735,184.35

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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.