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Finding the Third Proportional to 113,567 and 238,902

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Solution

The third proportional to 113,567 and 238,902 is: 502,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,567 : 238,902 = 238,902 : x
  2. Step 2: Convert to fraction form
    113,567/238,902 = 238,902/x
  3. Step 3: Cross multiply
    113,567x = 238,902 × 238,902
  4. Step 4: Simplify right side
    113,567x = 57,074,165,604
  5. Step 5: Solve for x
    x = 57,074,165,604/113,567
  6. Step 6: Final answer
    x = 502,559.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.