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Finding the Third Proportional to 107,708 and 230,078

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Solution

The third proportional to 107,708 and 230,078 is: 491,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,708 : 230,078 = 230,078 : x
  2. Step 2: Convert to fraction form
    107,708/230,078 = 230,078/x
  3. Step 3: Cross multiply
    107,708x = 230,078 × 230,078
  4. Step 4: Simplify right side
    107,708x = 52,935,886,084
  5. Step 5: Solve for x
    x = 52,935,886,084/107,708
  6. Step 6: Final answer
    x = 491,475.90

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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.