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Finding the Third Proportional to 149,176.69 and 306,964.69

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Solution

The third proportional to 149,176.69 and 306,964.69 is: 631,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,176.69 : 306,964.69 = 306,964.69 : x
  2. Step 2: Convert to fraction form
    149,176.69/306,964.69 = 306,964.69/x
  3. Step 3: Cross multiply
    149,176.69x = 306,964.69 × 306,964.69
  4. Step 4: Simplify right side
    149,176.69x = 94,227,319,371.97
  5. Step 5: Solve for x
    x = 94,227,319,371.97/149,176.69
  6. Step 6: Final answer
    x = 631,649.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.