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Finding the Third Proportional to 140,487.75 and 301,073.63

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Solution

The third proportional to 140,487.75 and 301,073.63 is: 645,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,487.75 : 301,073.63 = 301,073.63 : x
  2. Step 2: Convert to fraction form
    140,487.75/301,073.63 = 301,073.63/x
  3. Step 3: Cross multiply
    140,487.75x = 301,073.63 × 301,073.63
  4. Step 4: Simplify right side
    140,487.75x = 90,645,327,670.64
  5. Step 5: Solve for x
    x = 90,645,327,670.64/140,487.75
  6. Step 6: Final answer
    x = 645,218.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.