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Finding the Third Proportional to 162,513.56 and 252,621.84

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Solution

The third proportional to 162,513.56 and 252,621.84 is: 392,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,513.56 : 252,621.84 = 252,621.84 : x
  2. Step 2: Convert to fraction form
    162,513.56/252,621.84 = 252,621.84/x
  3. Step 3: Cross multiply
    162,513.56x = 252,621.84 × 252,621.84
  4. Step 4: Simplify right side
    162,513.56x = 63,817,795,939.65
  5. Step 5: Solve for x
    x = 63,817,795,939.65/162,513.56
  6. Step 6: Final answer
    x = 392,692.12

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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.