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Finding the Third Proportional to 140,786.06 and 291,552.94

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Solution

The third proportional to 140,786.06 and 291,552.94 is: 603,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,786.06 : 291,552.94 = 291,552.94 : x
  2. Step 2: Convert to fraction form
    140,786.06/291,552.94 = 291,552.94/x
  3. Step 3: Cross multiply
    140,786.06x = 291,552.94 × 291,552.94
  4. Step 4: Simplify right side
    140,786.06x = 85,003,115,364.88
  5. Step 5: Solve for x
    x = 85,003,115,364.88/140,786.06
  6. Step 6: Final answer
    x = 603,775.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.