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Finding the Third Proportional to 185,034 and 245,991

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Solution

The third proportional to 185,034 and 245,991 is: 327,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,034 : 245,991 = 245,991 : x
  2. Step 2: Convert to fraction form
    185,034/245,991 = 245,991/x
  3. Step 3: Cross multiply
    185,034x = 245,991 × 245,991
  4. Step 4: Simplify right side
    185,034x = 60,511,572,081
  5. Step 5: Solve for x
    x = 60,511,572,081/185,034
  6. Step 6: Final answer
    x = 327,029.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.