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Finding the Third Proportional to 370 and 502.25

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Solution

The third proportional to 370 and 502.25 is: 681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370 : 502.25 = 502.25 : x
  2. Step 2: Convert to fraction form
    370/502.25 = 502.25/x
  3. Step 3: Cross multiply
    370x = 502.25 × 502.25
  4. Step 4: Simplify right side
    370x = 252,255.06
  5. Step 5: Solve for x
    x = 252,255.06/370
  6. Step 6: Final answer
    x = 681.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.