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Finding the Third Proportional to 123,355.13 and 256,406.06

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Solution

The third proportional to 123,355.13 and 256,406.06 is: 532,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,355.13 : 256,406.06 = 256,406.06 : x
  2. Step 2: Convert to fraction form
    123,355.13/256,406.06 = 256,406.06/x
  3. Step 3: Cross multiply
    123,355.13x = 256,406.06 × 256,406.06
  4. Step 4: Simplify right side
    123,355.13x = 65,744,068,886.75
  5. Step 5: Solve for x
    x = 65,744,068,886.75/123,355.13
  6. Step 6: Final answer
    x = 532,965.85

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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.