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Finding the Third Proportional to 84,818 and 181,300

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Solution

The third proportional to 84,818 and 181,300 is: 387,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,818 : 181,300 = 181,300 : x
  2. Step 2: Convert to fraction form
    84,818/181,300 = 181,300/x
  3. Step 3: Cross multiply
    84,818x = 181,300 × 181,300
  4. Step 4: Simplify right side
    84,818x = 32,869,690,000
  5. Step 5: Solve for x
    x = 32,869,690,000/84,818
  6. Step 6: Final answer
    x = 387,532.01

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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.