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Finding the Third Proportional to 145,997.44 and 323,698.78

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Solution

The third proportional to 145,997.44 and 323,698.78 is: 717,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,997.44 : 323,698.78 = 323,698.78 : x
  2. Step 2: Convert to fraction form
    145,997.44/323,698.78 = 323,698.78/x
  3. Step 3: Cross multiply
    145,997.44x = 323,698.78 × 323,698.78
  4. Step 4: Simplify right side
    145,997.44x = 104,780,900,982.74
  5. Step 5: Solve for x
    x = 104,780,900,982.74/145,997.44
  6. Step 6: Final answer
    x = 717,690.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.