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Finding the Third Proportional to 122,869.13 and 268,468.88

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Solution

The third proportional to 122,869.13 and 268,468.88 is: 586,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,869.13 : 268,468.88 = 268,468.88 : x
  2. Step 2: Convert to fraction form
    122,869.13/268,468.88 = 268,468.88/x
  3. Step 3: Cross multiply
    122,869.13x = 268,468.88 × 268,468.88
  4. Step 4: Simplify right side
    122,869.13x = 72,075,536,843.77
  5. Step 5: Solve for x
    x = 72,075,536,843.77/122,869.13
  6. Step 6: Final answer
    x = 586,604.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.