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Finding the Third Proportional to 115,305.75 and 253,314

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Solution

The third proportional to 115,305.75 and 253,314 is: 556,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,305.75 : 253,314 = 253,314 : x
  2. Step 2: Convert to fraction form
    115,305.75/253,314 = 253,314/x
  3. Step 3: Cross multiply
    115,305.75x = 253,314 × 253,314
  4. Step 4: Simplify right side
    115,305.75x = 64,167,982,596
  5. Step 5: Solve for x
    x = 64,167,982,596/115,305.75
  6. Step 6: Final answer
    x = 556,502.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.