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Finding the Third Proportional to 239,731.69 and 363,971.63

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Solution

The third proportional to 239,731.69 and 363,971.63 is: 552,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,731.69 : 363,971.63 = 363,971.63 : x
  2. Step 2: Convert to fraction form
    239,731.69/363,971.63 = 363,971.63/x
  3. Step 3: Cross multiply
    239,731.69x = 363,971.63 × 363,971.63
  4. Step 4: Simplify right side
    239,731.69x = 132,475,343,805.14
  5. Step 5: Solve for x
    x = 132,475,343,805.14/239,731.69
  6. Step 6: Final answer
    x = 552,598.39

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