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Finding the Third Proportional to 129,044.81 and 276,778.69

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Solution

The third proportional to 129,044.81 and 276,778.69 is: 593,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,044.81 : 276,778.69 = 276,778.69 : x
  2. Step 2: Convert to fraction form
    129,044.81/276,778.69 = 276,778.69/x
  3. Step 3: Cross multiply
    129,044.81x = 276,778.69 × 276,778.69
  4. Step 4: Simplify right side
    129,044.81x = 76,606,441,854.22
  5. Step 5: Solve for x
    x = 76,606,441,854.22/129,044.81
  6. Step 6: Final answer
    x = 593,642.16

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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.