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Finding the Third Proportional to 113,290 and 238,230

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Solution

The third proportional to 113,290 and 238,230 is: 500,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,290 : 238,230 = 238,230 : x
  2. Step 2: Convert to fraction form
    113,290/238,230 = 238,230/x
  3. Step 3: Cross multiply
    113,290x = 238,230 × 238,230
  4. Step 4: Simplify right side
    113,290x = 56,753,532,900
  5. Step 5: Solve for x
    x = 56,753,532,900/113,290
  6. Step 6: Final answer
    x = 500,958.01

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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.