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Finding the Third Proportional to 113,180 and 239,851

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Solution

The third proportional to 113,180 and 239,851 is: 508,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,180 : 239,851 = 239,851 : x
  2. Step 2: Convert to fraction form
    113,180/239,851 = 239,851/x
  3. Step 3: Cross multiply
    113,180x = 239,851 × 239,851
  4. Step 4: Simplify right side
    113,180x = 57,528,502,201
  5. Step 5: Solve for x
    x = 57,528,502,201/113,180
  6. Step 6: Final answer
    x = 508,292.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.