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Finding the Third Proportional to 114.29 and 246.87

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Solution

The third proportional to 114.29 and 246.87 is: 533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 246.87 = 246.87 : x
  2. Step 2: Convert to fraction form
    114.29/246.87 = 246.87/x
  3. Step 3: Cross multiply
    114.29x = 246.87 × 246.87
  4. Step 4: Simplify right side
    114.29x = 60,943.41
  5. Step 5: Solve for x
    x = 60,943.41/114.29
  6. Step 6: Final answer
    x = 533.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.