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Finding the Third Proportional to 113,565 and 238,900

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Solution

The third proportional to 113,565 and 238,900 is: 502,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,565 : 238,900 = 238,900 : x
  2. Step 2: Convert to fraction form
    113,565/238,900 = 238,900/x
  3. Step 3: Cross multiply
    113,565x = 238,900 × 238,900
  4. Step 4: Simplify right side
    113,565x = 57,073,210,000
  5. Step 5: Solve for x
    x = 57,073,210,000/113,565
  6. Step 6: Final answer
    x = 502,559.86

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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.