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Finding the Third Proportional to 141,498 and 307,113

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Solution

The third proportional to 141,498 and 307,113 is: 666,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,498 : 307,113 = 307,113 : x
  2. Step 2: Convert to fraction form
    141,498/307,113 = 307,113/x
  3. Step 3: Cross multiply
    141,498x = 307,113 × 307,113
  4. Step 4: Simplify right side
    141,498x = 94,318,394,769
  5. Step 5: Solve for x
    x = 94,318,394,769/141,498
  6. Step 6: Final answer
    x = 666,570.52

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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.