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Finding the Third Proportional to 96,249 and 233,239.50

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Solution

The third proportional to 96,249 and 233,239.50 is: 565,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249 : 233,239.50 = 233,239.50 : x
  2. Step 2: Convert to fraction form
    96,249/233,239.50 = 233,239.50/x
  3. Step 3: Cross multiply
    96,249x = 233,239.50 × 233,239.50
  4. Step 4: Simplify right side
    96,249x = 54,400,664,360.25
  5. Step 5: Solve for x
    x = 54,400,664,360.25/96,249
  6. Step 6: Final answer
    x = 565,207.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.