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Finding the Third Proportional to 110,454 and 240,228

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Solution

The third proportional to 110,454 and 240,228 is: 522,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,454 : 240,228 = 240,228 : x
  2. Step 2: Convert to fraction form
    110,454/240,228 = 240,228/x
  3. Step 3: Cross multiply
    110,454x = 240,228 × 240,228
  4. Step 4: Simplify right side
    110,454x = 57,709,491,984
  5. Step 5: Solve for x
    x = 57,709,491,984/110,454
  6. Step 6: Final answer
    x = 522,475.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.