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Finding the Third Proportional to 105,729.75 and 232,488.75

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Solution

The third proportional to 105,729.75 and 232,488.75 is: 511,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729.75 : 232,488.75 = 232,488.75 : x
  2. Step 2: Convert to fraction form
    105,729.75/232,488.75 = 232,488.75/x
  3. Step 3: Cross multiply
    105,729.75x = 232,488.75 × 232,488.75
  4. Step 4: Simplify right side
    105,729.75x = 54,051,018,876.56
  5. Step 5: Solve for x
    x = 54,051,018,876.56/105,729.75
  6. Step 6: Final answer
    x = 511,218.64

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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.