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Finding the Third Proportional to 136,900.13 and 293,149.13

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Solution

The third proportional to 136,900.13 and 293,149.13 is: 627,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,900.13 : 293,149.13 = 293,149.13 : x
  2. Step 2: Convert to fraction form
    136,900.13/293,149.13 = 293,149.13/x
  3. Step 3: Cross multiply
    136,900.13x = 293,149.13 × 293,149.13
  4. Step 4: Simplify right side
    136,900.13x = 85,936,409,488.27
  5. Step 5: Solve for x
    x = 85,936,409,488.27/136,900.13
  6. Step 6: Final answer
    x = 627,730.69

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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.