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Finding the Third Proportional to 141,122.25 and 301,654.13

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Solution

The third proportional to 141,122.25 and 301,654.13 is: 644,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,122.25 : 301,654.13 = 301,654.13 : x
  2. Step 2: Convert to fraction form
    141,122.25/301,654.13 = 301,654.13/x
  3. Step 3: Cross multiply
    141,122.25x = 301,654.13 × 301,654.13
  4. Step 4: Simplify right side
    141,122.25x = 90,995,211,129.52
  5. Step 5: Solve for x
    x = 90,995,211,129.52/141,122.25
  6. Step 6: Final answer
    x = 644,797.05

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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.