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Finding the Third Proportional to 142,291.69 and 226,405.76

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Solution

The third proportional to 142,291.69 and 226,405.76 is: 360,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,291.69 : 226,405.76 = 226,405.76 : x
  2. Step 2: Convert to fraction form
    142,291.69/226,405.76 = 226,405.76/x
  3. Step 3: Cross multiply
    142,291.69x = 226,405.76 × 226,405.76
  4. Step 4: Simplify right side
    142,291.69x = 51,259,567,170.65
  5. Step 5: Solve for x
    x = 51,259,567,170.65/142,291.69
  6. Step 6: Final answer
    x = 360,242.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.