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Finding the Third Proportional to 186,704 and 283,508

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Solution

The third proportional to 186,704 and 283,508 is: 430,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,704 : 283,508 = 283,508 : x
  2. Step 2: Convert to fraction form
    186,704/283,508 = 283,508/x
  3. Step 3: Cross multiply
    186,704x = 283,508 × 283,508
  4. Step 4: Simplify right side
    186,704x = 80,376,786,064
  5. Step 5: Solve for x
    x = 80,376,786,064/186,704
  6. Step 6: Final answer
    x = 430,503.82

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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.