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Finding the Third Proportional to 132,488 and 283,912

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Solution

The third proportional to 132,488 and 283,912 is: 608,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,488 : 283,912 = 283,912 : x
  2. Step 2: Convert to fraction form
    132,488/283,912 = 283,912/x
  3. Step 3: Cross multiply
    132,488x = 283,912 × 283,912
  4. Step 4: Simplify right side
    132,488x = 80,606,023,744
  5. Step 5: Solve for x
    x = 80,606,023,744/132,488
  6. Step 6: Final answer
    x = 608,402.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.