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Finding the Third Proportional to 131,398.88 and 288,231.75

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Solution

The third proportional to 131,398.88 and 288,231.75 is: 632,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,398.88 : 288,231.75 = 288,231.75 : x
  2. Step 2: Convert to fraction form
    131,398.88/288,231.75 = 288,231.75/x
  3. Step 3: Cross multiply
    131,398.88x = 288,231.75 × 288,231.75
  4. Step 4: Simplify right side
    131,398.88x = 83,077,541,708.06
  5. Step 5: Solve for x
    x = 83,077,541,708.06/131,398.88
  6. Step 6: Final answer
    x = 632,254.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.