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Finding the Third Proportional to 296.16 and 706.22

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Solution

The third proportional to 296.16 and 706.22 is: 1,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 706.22 = 706.22 : x
  2. Step 2: Convert to fraction form
    296.16/706.22 = 706.22/x
  3. Step 3: Cross multiply
    296.16x = 706.22 × 706.22
  4. Step 4: Simplify right side
    296.16x = 498,744.92
  5. Step 5: Solve for x
    x = 498,744.92/296.16
  6. Step 6: Final answer
    x = 1,684.06

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.