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Finding the Third Proportional to 114,942.80 and 250,577.61

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Solution

The third proportional to 114,942.80 and 250,577.61 is: 546,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,942.80 : 250,577.61 = 250,577.61 : x
  2. Step 2: Convert to fraction form
    114,942.80/250,577.61 = 250,577.61/x
  3. Step 3: Cross multiply
    114,942.80x = 250,577.61 × 250,577.61
  4. Step 4: Simplify right side
    114,942.80x = 62,789,140,277.73
  5. Step 5: Solve for x
    x = 62,789,140,277.73/114,942.80
  6. Step 6: Final answer
    x = 546,264.25

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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.