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Finding the Third Proportional to 138,487.50 and 301,239.25

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Solution

The third proportional to 138,487.50 and 301,239.25 is: 655,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,487.50 : 301,239.25 = 301,239.25 : x
  2. Step 2: Convert to fraction form
    138,487.50/301,239.25 = 301,239.25/x
  3. Step 3: Cross multiply
    138,487.50x = 301,239.25 × 301,239.25
  4. Step 4: Simplify right side
    138,487.50x = 90,745,085,740.56
  5. Step 5: Solve for x
    x = 90,745,085,740.56/138,487.50
  6. Step 6: Final answer
    x = 655,258.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.