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Finding the Third Proportional to 215,692.13 and 333,632.81

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Solution

The third proportional to 215,692.13 and 333,632.81 is: 516,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,692.13 : 333,632.81 = 333,632.81 : x
  2. Step 2: Convert to fraction form
    215,692.13/333,632.81 = 333,632.81/x
  3. Step 3: Cross multiply
    215,692.13x = 333,632.81 × 333,632.81
  4. Step 4: Simplify right side
    215,692.13x = 111,310,853,576.66
  5. Step 5: Solve for x
    x = 111,310,853,576.66/215,692.13
  6. Step 6: Final answer
    x = 516,063.60

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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.