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Finding the Third Proportional to 132,443 and 287,461

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Solution

The third proportional to 132,443 and 287,461 is: 623,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,443 : 287,461 = 287,461 : x
  2. Step 2: Convert to fraction form
    132,443/287,461 = 287,461/x
  3. Step 3: Cross multiply
    132,443x = 287,461 × 287,461
  4. Step 4: Simplify right side
    132,443x = 82,633,826,521
  5. Step 5: Solve for x
    x = 82,633,826,521/132,443
  6. Step 6: Final answer
    x = 623,919.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.