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Finding the Third Proportional to 137,447 and 291,742

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Solution

The third proportional to 137,447 and 291,742 is: 619,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447 : 291,742 = 291,742 : x
  2. Step 2: Convert to fraction form
    137,447/291,742 = 291,742/x
  3. Step 3: Cross multiply
    137,447x = 291,742 × 291,742
  4. Step 4: Simplify right side
    137,447x = 85,113,394,564
  5. Step 5: Solve for x
    x = 85,113,394,564/137,447
  6. Step 6: Final answer
    x = 619,245.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.