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Finding the Third Proportional to 111,078 and 240,613.88

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Solution

The third proportional to 111,078 and 240,613.88 is: 521,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,078 : 240,613.88 = 240,613.88 : x
  2. Step 2: Convert to fraction form
    111,078/240,613.88 = 240,613.88/x
  3. Step 3: Cross multiply
    111,078x = 240,613.88 × 240,613.88
  4. Step 4: Simplify right side
    111,078x = 57,895,036,842.52
  5. Step 5: Solve for x
    x = 57,895,036,842.52/111,078
  6. Step 6: Final answer
    x = 521,210.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.