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Finding the Third Proportional to 292.08 and 452.11

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Solution

The third proportional to 292.08 and 452.11 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 452.11 = 452.11 : x
  2. Step 2: Convert to fraction form
    292.08/452.11 = 452.11/x
  3. Step 3: Cross multiply
    292.08x = 452.11 × 452.11
  4. Step 4: Simplify right side
    292.08x = 204,402.89
  5. Step 5: Solve for x
    x = 204,402.89/292.08
  6. Step 6: Final answer
    x = 699.82

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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.