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Finding the Third Proportional to 122,856.75 and 268,444.13

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Solution

The third proportional to 122,856.75 and 268,444.13 is: 586,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,856.75 : 268,444.13 = 268,444.13 : x
  2. Step 2: Convert to fraction form
    122,856.75/268,444.13 = 268,444.13/x
  3. Step 3: Cross multiply
    122,856.75x = 268,444.13 × 268,444.13
  4. Step 4: Simplify right side
    122,856.75x = 72,062,248,247.02
  5. Step 5: Solve for x
    x = 72,062,248,247.02/122,856.75
  6. Step 6: Final answer
    x = 586,555.06

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Why These Related Problems?

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