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Finding the Third Proportional to 186.50 and 292.13

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Solution

The third proportional to 186.50 and 292.13 is: 457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 292.13 = 292.13 : x
  2. Step 2: Convert to fraction form
    186.50/292.13 = 292.13/x
  3. Step 3: Cross multiply
    186.50x = 292.13 × 292.13
  4. Step 4: Simplify right side
    186.50x = 85,337.02
  5. Step 5: Solve for x
    x = 85,337.02/186.50
  6. Step 6: Final answer
    x = 457.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.