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Finding the Third Proportional to 239,731.59 and 363,971.39

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Solution

The third proportional to 239,731.59 and 363,971.39 is: 552,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,731.59 : 363,971.39 = 363,971.39 : x
  2. Step 2: Convert to fraction form
    239,731.59/363,971.39 = 363,971.39/x
  3. Step 3: Cross multiply
    239,731.59x = 363,971.39 × 363,971.39
  4. Step 4: Simplify right side
    239,731.59x = 132,475,173,193.50
  5. Step 5: Solve for x
    x = 132,475,173,193.50/239,731.59
  6. Step 6: Final answer
    x = 552,597.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.