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Finding the Third Proportional to 111,270 and 247,418

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Solution

The third proportional to 111,270 and 247,418 is: 550,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,270 : 247,418 = 247,418 : x
  2. Step 2: Convert to fraction form
    111,270/247,418 = 247,418/x
  3. Step 3: Cross multiply
    111,270x = 247,418 × 247,418
  4. Step 4: Simplify right side
    111,270x = 61,215,666,724
  5. Step 5: Solve for x
    x = 61,215,666,724/111,270
  6. Step 6: Final answer
    x = 550,154.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.