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Finding the Third Proportional to 84,180 and 180,034

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Solution

The third proportional to 84,180 and 180,034 is: 385,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,180 : 180,034 = 180,034 : x
  2. Step 2: Convert to fraction form
    84,180/180,034 = 180,034/x
  3. Step 3: Cross multiply
    84,180x = 180,034 × 180,034
  4. Step 4: Simplify right side
    84,180x = 32,412,241,156
  5. Step 5: Solve for x
    x = 32,412,241,156/84,180
  6. Step 6: Final answer
    x = 385,034.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.