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Finding the Third Proportional to 113,576 and 238,918

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Solution

The third proportional to 113,576 and 238,918 is: 502,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,576 : 238,918 = 238,918 : x
  2. Step 2: Convert to fraction form
    113,576/238,918 = 238,918/x
  3. Step 3: Cross multiply
    113,576x = 238,918 × 238,918
  4. Step 4: Simplify right side
    113,576x = 57,081,810,724
  5. Step 5: Solve for x
    x = 57,081,810,724/113,576
  6. Step 6: Final answer
    x = 502,586.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.