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Finding the Third Proportional to 243.75 and 296.06

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Solution

The third proportional to 243.75 and 296.06 is: 359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 296.06 = 296.06 : x
  2. Step 2: Convert to fraction form
    243.75/296.06 = 296.06/x
  3. Step 3: Cross multiply
    243.75x = 296.06 × 296.06
  4. Step 4: Simplify right side
    243.75x = 87,653.00
  5. Step 5: Solve for x
    x = 87,653.00/243.75
  6. Step 6: Final answer
    x = 359.60

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.