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Finding the Third Proportional to 129,466.13 and 276,922.13

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Solution

The third proportional to 129,466.13 and 276,922.13 is: 592,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,466.13 : 276,922.13 = 276,922.13 : x
  2. Step 2: Convert to fraction form
    129,466.13/276,922.13 = 276,922.13/x
  3. Step 3: Cross multiply
    129,466.13x = 276,922.13 × 276,922.13
  4. Step 4: Simplify right side
    129,466.13x = 76,685,863,314.52
  5. Step 5: Solve for x
    x = 76,685,863,314.52/129,466.13
  6. Step 6: Final answer
    x = 592,323.77

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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.