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Finding the Third Proportional to 138,559.50 and 296,073

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Solution

The third proportional to 138,559.50 and 296,073 is: 632,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,559.50 : 296,073 = 296,073 : x
  2. Step 2: Convert to fraction form
    138,559.50/296,073 = 296,073/x
  3. Step 3: Cross multiply
    138,559.50x = 296,073 × 296,073
  4. Step 4: Simplify right side
    138,559.50x = 87,659,221,329
  5. Step 5: Solve for x
    x = 87,659,221,329/138,559.50
  6. Step 6: Final answer
    x = 632,646.78

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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.