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Finding the Third Proportional to 70,034 and 151,300

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Solution

The third proportional to 70,034 and 151,300 is: 326,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034 : 151,300 = 151,300 : x
  2. Step 2: Convert to fraction form
    70,034/151,300 = 151,300/x
  3. Step 3: Cross multiply
    70,034x = 151,300 × 151,300
  4. Step 4: Simplify right side
    70,034x = 22,891,690,000
  5. Step 5: Solve for x
    x = 22,891,690,000/70,034
  6. Step 6: Final answer
    x = 326,865.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.