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Finding the Third Proportional to 162,977.06 and 252,139.78

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Solution

The third proportional to 162,977.06 and 252,139.78 is: 390,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,977.06 : 252,139.78 = 252,139.78 : x
  2. Step 2: Convert to fraction form
    162,977.06/252,139.78 = 252,139.78/x
  3. Step 3: Cross multiply
    162,977.06x = 252,139.78 × 252,139.78
  4. Step 4: Simplify right side
    162,977.06x = 63,574,469,288.80
  5. Step 5: Solve for x
    x = 63,574,469,288.80/162,977.06
  6. Step 6: Final answer
    x = 390,082.31

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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.