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Finding the Third Proportional to 123,432.75 and 265,596.75

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Solution

The third proportional to 123,432.75 and 265,596.75 is: 571,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,432.75 : 265,596.75 = 265,596.75 : x
  2. Step 2: Convert to fraction form
    123,432.75/265,596.75 = 265,596.75/x
  3. Step 3: Cross multiply
    123,432.75x = 265,596.75 × 265,596.75
  4. Step 4: Simplify right side
    123,432.75x = 70,541,633,610.56
  5. Step 5: Solve for x
    x = 70,541,633,610.56/123,432.75
  6. Step 6: Final answer
    x = 571,498.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.