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Finding the Third Proportional to 158,031 and 334,647

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Solution

The third proportional to 158,031 and 334,647 is: 708,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,031 : 334,647 = 334,647 : x
  2. Step 2: Convert to fraction form
    158,031/334,647 = 334,647/x
  3. Step 3: Cross multiply
    158,031x = 334,647 × 334,647
  4. Step 4: Simplify right side
    158,031x = 111,988,614,609
  5. Step 5: Solve for x
    x = 111,988,614,609/158,031
  6. Step 6: Final answer
    x = 708,649.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.