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Finding the Third Proportional to 114,165.75 and 246,624.75

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Solution

The third proportional to 114,165.75 and 246,624.75 is: 532,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.75 : 246,624.75 = 246,624.75 : x
  2. Step 2: Convert to fraction form
    114,165.75/246,624.75 = 246,624.75/x
  3. Step 3: Cross multiply
    114,165.75x = 246,624.75 × 246,624.75
  4. Step 4: Simplify right side
    114,165.75x = 60,823,767,312.56
  5. Step 5: Solve for x
    x = 60,823,767,312.56/114,165.75
  6. Step 6: Final answer
    x = 532,767.20

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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.