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Finding the Third Proportional to 110,624 and 260,033

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Solution

The third proportional to 110,624 and 260,033 is: 611,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,624 : 260,033 = 260,033 : x
  2. Step 2: Convert to fraction form
    110,624/260,033 = 260,033/x
  3. Step 3: Cross multiply
    110,624x = 260,033 × 260,033
  4. Step 4: Simplify right side
    110,624x = 67,617,161,089
  5. Step 5: Solve for x
    x = 67,617,161,089/110,624
  6. Step 6: Final answer
    x = 611,234.10

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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.