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Finding the Third Proportional to 149,676.75 and 306,345.38

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Solution

The third proportional to 149,676.75 and 306,345.38 is: 627,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.75 : 306,345.38 = 306,345.38 : x
  2. Step 2: Convert to fraction form
    149,676.75/306,345.38 = 306,345.38/x
  3. Step 3: Cross multiply
    149,676.75x = 306,345.38 × 306,345.38
  4. Step 4: Simplify right side
    149,676.75x = 93,847,488,783.89
  5. Step 5: Solve for x
    x = 93,847,488,783.89/149,676.75
  6. Step 6: Final answer
    x = 627,001.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.