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Finding the Third Proportional to 268.03 and 562.92

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Solution

The third proportional to 268.03 and 562.92 is: 1,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.03 : 562.92 = 562.92 : x
  2. Step 2: Convert to fraction form
    268.03/562.92 = 562.92/x
  3. Step 3: Cross multiply
    268.03x = 562.92 × 562.92
  4. Step 4: Simplify right side
    268.03x = 316,881.04
  5. Step 5: Solve for x
    x = 316,881.04/268.03
  6. Step 6: Final answer
    x = 1,182.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.