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Finding the Third Proportional to 282.13 and 428.13

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Solution

The third proportional to 282.13 and 428.13 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.13 : 428.13 = 428.13 : x
  2. Step 2: Convert to fraction form
    282.13/428.13 = 428.13/x
  3. Step 3: Cross multiply
    282.13x = 428.13 × 428.13
  4. Step 4: Simplify right side
    282.13x = 183,291.02
  5. Step 5: Solve for x
    x = 183,291.02/282.13
  6. Step 6: Final answer
    x = 649.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.