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Finding the Third Proportional to 292.15 and 462.48

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Solution

The third proportional to 292.15 and 462.48 is: 732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 462.48 = 462.48 : x
  2. Step 2: Convert to fraction form
    292.15/462.48 = 462.48/x
  3. Step 3: Cross multiply
    292.15x = 462.48 × 462.48
  4. Step 4: Simplify right side
    292.15x = 213,888.18
  5. Step 5: Solve for x
    x = 213,888.18/292.15
  6. Step 6: Final answer
    x = 732.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.