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Finding the Third Proportional to 123,353.50 and 256,402.75

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Solution

The third proportional to 123,353.50 and 256,402.75 is: 532,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,353.50 : 256,402.75 = 256,402.75 : x
  2. Step 2: Convert to fraction form
    123,353.50/256,402.75 = 256,402.75/x
  3. Step 3: Cross multiply
    123,353.50x = 256,402.75 × 256,402.75
  4. Step 4: Simplify right side
    123,353.50x = 65,742,370,207.56
  5. Step 5: Solve for x
    x = 65,742,370,207.56/123,353.50
  6. Step 6: Final answer
    x = 532,959.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.