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Finding the Third Proportional to 125,730.84 and 269,438.91

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Solution

The third proportional to 125,730.84 and 269,438.91 is: 577,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,730.84 : 269,438.91 = 269,438.91 : x
  2. Step 2: Convert to fraction form
    125,730.84/269,438.91 = 269,438.91/x
  3. Step 3: Cross multiply
    125,730.84x = 269,438.91 × 269,438.91
  4. Step 4: Simplify right side
    125,730.84x = 72,597,324,201.20
  5. Step 5: Solve for x
    x = 72,597,324,201.20/125,730.84
  6. Step 6: Final answer
    x = 577,402.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.