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Finding the Third Proportional to 113,550 and 238,858

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Solution

The third proportional to 113,550 and 238,858 is: 502,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,550 : 238,858 = 238,858 : x
  2. Step 2: Convert to fraction form
    113,550/238,858 = 238,858/x
  3. Step 3: Cross multiply
    113,550x = 238,858 × 238,858
  4. Step 4: Simplify right side
    113,550x = 57,053,144,164
  5. Step 5: Solve for x
    x = 57,053,144,164/113,550
  6. Step 6: Final answer
    x = 502,449.53

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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.