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Finding the Third Proportional to 139,542 and 301,404

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Solution

The third proportional to 139,542 and 301,404 is: 651,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,542 : 301,404 = 301,404 : x
  2. Step 2: Convert to fraction form
    139,542/301,404 = 301,404/x
  3. Step 3: Cross multiply
    139,542x = 301,404 × 301,404
  4. Step 4: Simplify right side
    139,542x = 90,844,371,216
  5. Step 5: Solve for x
    x = 90,844,371,216/139,542
  6. Step 6: Final answer
    x = 651,018.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.