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Finding the Third Proportional to 240,102 and 522,481.50

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Solution

The third proportional to 240,102 and 522,481.50 is: 1,136,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,102 : 522,481.50 = 522,481.50 : x
  2. Step 2: Convert to fraction form
    240,102/522,481.50 = 522,481.50/x
  3. Step 3: Cross multiply
    240,102x = 522,481.50 × 522,481.50
  4. Step 4: Simplify right side
    240,102x = 272,986,917,842.25
  5. Step 5: Solve for x
    x = 272,986,917,842.25/240,102
  6. Step 6: Final answer
    x = 1,136,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.