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Finding the Third Proportional to 188,692.88 and 302,995.69

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Solution

The third proportional to 188,692.88 and 302,995.69 is: 486,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692.88 : 302,995.69 = 302,995.69 : x
  2. Step 2: Convert to fraction form
    188,692.88/302,995.69 = 302,995.69/x
  3. Step 3: Cross multiply
    188,692.88x = 302,995.69 × 302,995.69
  4. Step 4: Simplify right side
    188,692.88x = 91,806,386,643.60
  5. Step 5: Solve for x
    x = 91,806,386,643.60/188,692.88
  6. Step 6: Final answer
    x = 486,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.