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Finding the Third Proportional to 110,454 and 240,460

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Solution

The third proportional to 110,454 and 240,460 is: 523,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,454 : 240,460 = 240,460 : x
  2. Step 2: Convert to fraction form
    110,454/240,460 = 240,460/x
  3. Step 3: Cross multiply
    110,454x = 240,460 × 240,460
  4. Step 4: Simplify right side
    110,454x = 57,821,011,600
  5. Step 5: Solve for x
    x = 57,821,011,600/110,454
  6. Step 6: Final answer
    x = 523,484.99

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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.