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Finding the Third Proportional to 107,730 and 234,785.25

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Solution

The third proportional to 107,730 and 234,785.25 is: 511,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730 : 234,785.25 = 234,785.25 : x
  2. Step 2: Convert to fraction form
    107,730/234,785.25 = 234,785.25/x
  3. Step 3: Cross multiply
    107,730x = 234,785.25 × 234,785.25
  4. Step 4: Simplify right side
    107,730x = 55,124,113,617.56
  5. Step 5: Solve for x
    x = 55,124,113,617.56/107,730
  6. Step 6: Final answer
    x = 511,687.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.