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Finding the Third Proportional to 296.13 and 458.38

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Solution

The third proportional to 296.13 and 458.38 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.13 : 458.38 = 458.38 : x
  2. Step 2: Convert to fraction form
    296.13/458.38 = 458.38/x
  3. Step 3: Cross multiply
    296.13x = 458.38 × 458.38
  4. Step 4: Simplify right side
    296.13x = 210,107.64
  5. Step 5: Solve for x
    x = 210,107.64/296.13
  6. Step 6: Final answer
    x = 709.52

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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.