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Finding the Third Proportional to 153,882 and 230,823

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Solution

The third proportional to 153,882 and 230,823 is: 346,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,882 : 230,823 = 230,823 : x
  2. Step 2: Convert to fraction form
    153,882/230,823 = 230,823/x
  3. Step 3: Cross multiply
    153,882x = 230,823 × 230,823
  4. Step 4: Simplify right side
    153,882x = 53,279,257,329
  5. Step 5: Solve for x
    x = 53,279,257,329/153,882
  6. Step 6: Final answer
    x = 346,234.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.