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Finding the Third Proportional to 113,619 and 238,986

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Solution

The third proportional to 113,619 and 238,986 is: 502,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,619 : 238,986 = 238,986 : x
  2. Step 2: Convert to fraction form
    113,619/238,986 = 238,986/x
  3. Step 3: Cross multiply
    113,619x = 238,986 × 238,986
  4. Step 4: Simplify right side
    113,619x = 57,114,308,196
  5. Step 5: Solve for x
    x = 57,114,308,196/113,619
  6. Step 6: Final answer
    x = 502,682.72

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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.