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Finding the Third Proportional to 110,119 and 240,463

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Solution

The third proportional to 110,119 and 240,463 is: 525,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,119 : 240,463 = 240,463 : x
  2. Step 2: Convert to fraction form
    110,119/240,463 = 240,463/x
  3. Step 3: Cross multiply
    110,119x = 240,463 × 240,463
  4. Step 4: Simplify right side
    110,119x = 57,822,454,369
  5. Step 5: Solve for x
    x = 57,822,454,369/110,119
  6. Step 6: Final answer
    x = 525,090.62

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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.