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Finding the Third Proportional to 111,744 and 245,952

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Solution

The third proportional to 111,744 and 245,952 is: 541,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,744 : 245,952 = 245,952 : x
  2. Step 2: Convert to fraction form
    111,744/245,952 = 245,952/x
  3. Step 3: Cross multiply
    111,744x = 245,952 × 245,952
  4. Step 4: Simplify right side
    111,744x = 60,492,386,304
  5. Step 5: Solve for x
    x = 60,492,386,304/111,744
  6. Step 6: Final answer
    x = 541,347.96

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