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Finding the Third Proportional to 150,857.44 and 314,115.47

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Solution

The third proportional to 150,857.44 and 314,115.47 is: 654,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,857.44 : 314,115.47 = 314,115.47 : x
  2. Step 2: Convert to fraction form
    150,857.44/314,115.47 = 314,115.47/x
  3. Step 3: Cross multiply
    150,857.44x = 314,115.47 × 314,115.47
  4. Step 4: Simplify right side
    150,857.44x = 98,668,527,708.03
  5. Step 5: Solve for x
    x = 98,668,527,708.03/150,857.44
  6. Step 6: Final answer
    x = 654,051.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.