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Finding the Third Proportional to 186,706 and 283,511

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Solution

The third proportional to 186,706 and 283,511 is: 430,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,706 : 283,511 = 283,511 : x
  2. Step 2: Convert to fraction form
    186,706/283,511 = 283,511/x
  3. Step 3: Cross multiply
    186,706x = 283,511 × 283,511
  4. Step 4: Simplify right side
    186,706x = 80,378,487,121
  5. Step 5: Solve for x
    x = 80,378,487,121/186,706
  6. Step 6: Final answer
    x = 430,508.32

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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.