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Finding the Third Proportional to 113,572 and 238,914

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Solution

The third proportional to 113,572 and 238,914 is: 502,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,572 : 238,914 = 238,914 : x
  2. Step 2: Convert to fraction form
    113,572/238,914 = 238,914/x
  3. Step 3: Cross multiply
    113,572x = 238,914 × 238,914
  4. Step 4: Simplify right side
    113,572x = 57,079,899,396
  5. Step 5: Solve for x
    x = 57,079,899,396/113,572
  6. Step 6: Final answer
    x = 502,587.78

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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.