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Finding the Third Proportional to 139,488 and 302,592

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Solution

The third proportional to 139,488 and 302,592 is: 656,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,488 : 302,592 = 302,592 : x
  2. Step 2: Convert to fraction form
    139,488/302,592 = 302,592/x
  3. Step 3: Cross multiply
    139,488x = 302,592 × 302,592
  4. Step 4: Simplify right side
    139,488x = 91,561,918,464
  5. Step 5: Solve for x
    x = 91,561,918,464/139,488
  6. Step 6: Final answer
    x = 656,414.30

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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.