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Finding the Third Proportional to 137,608.13 and 205,770.38

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Solution

The third proportional to 137,608.13 and 205,770.38 is: 307,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.13 : 205,770.38 = 205,770.38 : x
  2. Step 2: Convert to fraction form
    137,608.13/205,770.38 = 205,770.38/x
  3. Step 3: Cross multiply
    137,608.13x = 205,770.38 × 205,770.38
  4. Step 4: Simplify right side
    137,608.13x = 42,341,447,227.64
  5. Step 5: Solve for x
    x = 42,341,447,227.64/137,608.13
  6. Step 6: Final answer
    x = 307,695.84

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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.