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Finding the Third Proportional to 110,862 and 260,280

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Solution

The third proportional to 110,862 and 260,280 is: 611,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,862 : 260,280 = 260,280 : x
  2. Step 2: Convert to fraction form
    110,862/260,280 = 260,280/x
  3. Step 3: Cross multiply
    110,862x = 260,280 × 260,280
  4. Step 4: Simplify right side
    110,862x = 67,745,678,400
  5. Step 5: Solve for x
    x = 67,745,678,400/110,862
  6. Step 6: Final answer
    x = 611,081.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.