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Finding the Third Proportional to 296.06 and 452.06

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Solution

The third proportional to 296.06 and 452.06 is: 690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 452.06 = 452.06 : x
  2. Step 2: Convert to fraction form
    296.06/452.06 = 452.06/x
  3. Step 3: Cross multiply
    296.06x = 452.06 × 452.06
  4. Step 4: Simplify right side
    296.06x = 204,360.50
  5. Step 5: Solve for x
    x = 204,360.50/296.06
  6. Step 6: Final answer
    x = 690.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.