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Finding the Third Proportional to 129,179.81 and 277,047.84

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Solution

The third proportional to 129,179.81 and 277,047.84 is: 594,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,179.81 : 277,047.84 = 277,047.84 : x
  2. Step 2: Convert to fraction form
    129,179.81/277,047.84 = 277,047.84/x
  3. Step 3: Cross multiply
    129,179.81x = 277,047.84 × 277,047.84
  4. Step 4: Simplify right side
    129,179.81x = 76,755,507,726.52
  5. Step 5: Solve for x
    x = 76,755,507,726.52/129,179.81
  6. Step 6: Final answer
    x = 594,175.72

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Why These Related Problems?

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