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Finding the Third Proportional to 140,239.25 and 301,862.50

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Solution

The third proportional to 140,239.25 and 301,862.50 is: 649,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,239.25 : 301,862.50 = 301,862.50 : x
  2. Step 2: Convert to fraction form
    140,239.25/301,862.50 = 301,862.50/x
  3. Step 3: Cross multiply
    140,239.25x = 301,862.50 × 301,862.50
  4. Step 4: Simplify right side
    140,239.25x = 91,120,968,906.25
  5. Step 5: Solve for x
    x = 91,120,968,906.25/140,239.25
  6. Step 6: Final answer
    x = 649,753.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.