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Finding the Third Proportional to 137,134 and 299,900

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Solution

The third proportional to 137,134 and 299,900 is: 655,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,134 : 299,900 = 299,900 : x
  2. Step 2: Convert to fraction form
    137,134/299,900 = 299,900/x
  3. Step 3: Cross multiply
    137,134x = 299,900 × 299,900
  4. Step 4: Simplify right side
    137,134x = 89,940,010,000
  5. Step 5: Solve for x
    x = 89,940,010,000/137,134
  6. Step 6: Final answer
    x = 655,854.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.