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Finding the Third Proportional to 179,778 and 282,001.50

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Solution

The third proportional to 179,778 and 282,001.50 is: 442,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,778 : 282,001.50 = 282,001.50 : x
  2. Step 2: Convert to fraction form
    179,778/282,001.50 = 282,001.50/x
  3. Step 3: Cross multiply
    179,778x = 282,001.50 × 282,001.50
  4. Step 4: Simplify right side
    179,778x = 79,524,846,002.25
  5. Step 5: Solve for x
    x = 79,524,846,002.25/179,778
  6. Step 6: Final answer
    x = 442,350.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.