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Finding the Third Proportional to 150,034 and 319,166

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Solution

The third proportional to 150,034 and 319,166 is: 678,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,034 : 319,166 = 319,166 : x
  2. Step 2: Convert to fraction form
    150,034/319,166 = 319,166/x
  3. Step 3: Cross multiply
    150,034x = 319,166 × 319,166
  4. Step 4: Simplify right side
    150,034x = 101,866,935,556
  5. Step 5: Solve for x
    x = 101,866,935,556/150,034
  6. Step 6: Final answer
    x = 678,959.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.