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Finding the Third Proportional to 158,041.13 and 338,692.64

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Solution

The third proportional to 158,041.13 and 338,692.64 is: 725,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,041.13 : 338,692.64 = 338,692.64 : x
  2. Step 2: Convert to fraction form
    158,041.13/338,692.64 = 338,692.64/x
  3. Step 3: Cross multiply
    158,041.13x = 338,692.64 × 338,692.64
  4. Step 4: Simplify right side
    158,041.13x = 114,712,704,813.54
  5. Step 5: Solve for x
    x = 114,712,704,813.54/158,041.13
  6. Step 6: Final answer
    x = 725,840.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.