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Finding the Third Proportional to 292.38 and 449.88

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Solution

The third proportional to 292.38 and 449.88 is: 692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 449.88 = 449.88 : x
  2. Step 2: Convert to fraction form
    292.38/449.88 = 449.88/x
  3. Step 3: Cross multiply
    292.38x = 449.88 × 449.88
  4. Step 4: Simplify right side
    292.38x = 202,387.52
  5. Step 5: Solve for x
    x = 202,387.52/292.38
  6. Step 6: Final answer
    x = 692.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.