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Finding the Third Proportional to 126,977.06 and 299,729.25

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Solution

The third proportional to 126,977.06 and 299,729.25 is: 707,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,977.06 : 299,729.25 = 299,729.25 : x
  2. Step 2: Convert to fraction form
    126,977.06/299,729.25 = 299,729.25/x
  3. Step 3: Cross multiply
    126,977.06x = 299,729.25 × 299,729.25
  4. Step 4: Simplify right side
    126,977.06x = 89,837,623,305.56
  5. Step 5: Solve for x
    x = 89,837,623,305.56/126,977.06
  6. Step 6: Final answer
    x = 707,510.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.