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Finding the Third Proportional to 147,615 and 229,199

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Solution

The third proportional to 147,615 and 229,199 is: 355,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,615 : 229,199 = 229,199 : x
  2. Step 2: Convert to fraction form
    147,615/229,199 = 229,199/x
  3. Step 3: Cross multiply
    147,615x = 229,199 × 229,199
  4. Step 4: Simplify right side
    147,615x = 52,532,181,601
  5. Step 5: Solve for x
    x = 52,532,181,601/147,615
  6. Step 6: Final answer
    x = 355,872.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.