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Finding the Third Proportional to 110,456 and 240,464

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Solution

The third proportional to 110,456 and 240,464 is: 523,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,456 : 240,464 = 240,464 : x
  2. Step 2: Convert to fraction form
    110,456/240,464 = 240,464/x
  3. Step 3: Cross multiply
    110,456x = 240,464 × 240,464
  4. Step 4: Simplify right side
    110,456x = 57,822,935,296
  5. Step 5: Solve for x
    x = 57,822,935,296/110,456
  6. Step 6: Final answer
    x = 523,492.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.