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Finding the Third Proportional to 120,836.81 and 262,429.88

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Solution

The third proportional to 120,836.81 and 262,429.88 is: 569,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,836.81 : 262,429.88 = 262,429.88 : x
  2. Step 2: Convert to fraction form
    120,836.81/262,429.88 = 262,429.88/x
  3. Step 3: Cross multiply
    120,836.81x = 262,429.88 × 262,429.88
  4. Step 4: Simplify right side
    120,836.81x = 68,869,439,292.52
  5. Step 5: Solve for x
    x = 68,869,439,292.52/120,836.81
  6. Step 6: Final answer
    x = 569,937.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.