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Finding the Third Proportional to 296.53 and 465.84

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Solution

The third proportional to 296.53 and 465.84 is: 731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.53 : 465.84 = 465.84 : x
  2. Step 2: Convert to fraction form
    296.53/465.84 = 465.84/x
  3. Step 3: Cross multiply
    296.53x = 465.84 × 465.84
  4. Step 4: Simplify right side
    296.53x = 217,010.40
  5. Step 5: Solve for x
    x = 217,010.40/296.53
  6. Step 6: Final answer
    x = 731.83

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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.