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Finding the Third Proportional to 98,853.75 and 233,244

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Solution

The third proportional to 98,853.75 and 233,244 is: 550,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,853.75 : 233,244 = 233,244 : x
  2. Step 2: Convert to fraction form
    98,853.75/233,244 = 233,244/x
  3. Step 3: Cross multiply
    98,853.75x = 233,244 × 233,244
  4. Step 4: Simplify right side
    98,853.75x = 54,402,763,536
  5. Step 5: Solve for x
    x = 54,402,763,536/98,853.75
  6. Step 6: Final answer
    x = 550,335.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.