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Finding the Third Proportional to 138,153 and 207,743

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Solution

The third proportional to 138,153 and 207,743 is: 312,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153 : 207,743 = 207,743 : x
  2. Step 2: Convert to fraction form
    138,153/207,743 = 207,743/x
  3. Step 3: Cross multiply
    138,153x = 207,743 × 207,743
  4. Step 4: Simplify right side
    138,153x = 43,157,154,049
  5. Step 5: Solve for x
    x = 43,157,154,049/138,153
  6. Step 6: Final answer
    x = 312,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.