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Finding the Third Proportional to 113,566 and 238,899

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Solution

The third proportional to 113,566 and 238,899 is: 502,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,566 : 238,899 = 238,899 : x
  2. Step 2: Convert to fraction form
    113,566/238,899 = 238,899/x
  3. Step 3: Cross multiply
    113,566x = 238,899 × 238,899
  4. Step 4: Simplify right side
    113,566x = 57,072,732,201
  5. Step 5: Solve for x
    x = 57,072,732,201/113,566
  6. Step 6: Final answer
    x = 502,551.22

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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.