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Finding the Third Proportional to 111,730 and 240,952

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Solution

The third proportional to 111,730 and 240,952 is: 519,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730 : 240,952 = 240,952 : x
  2. Step 2: Convert to fraction form
    111,730/240,952 = 240,952/x
  3. Step 3: Cross multiply
    111,730x = 240,952 × 240,952
  4. Step 4: Simplify right side
    111,730x = 58,057,866,304
  5. Step 5: Solve for x
    x = 58,057,866,304/111,730
  6. Step 6: Final answer
    x = 519,626.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.