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Finding the Third Proportional to 214,177.50 and 281,488.50

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Solution

The third proportional to 214,177.50 and 281,488.50 is: 369,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,177.50 : 281,488.50 = 281,488.50 : x
  2. Step 2: Convert to fraction form
    214,177.50/281,488.50 = 281,488.50/x
  3. Step 3: Cross multiply
    214,177.50x = 281,488.50 × 281,488.50
  4. Step 4: Simplify right side
    214,177.50x = 79,235,775,632.25
  5. Step 5: Solve for x
    x = 79,235,775,632.25/214,177.50
  6. Step 6: Final answer
    x = 369,953.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.