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Finding the Third Proportional to 84,704 and 180,364

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Solution

The third proportional to 84,704 and 180,364 is: 384,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,704 : 180,364 = 180,364 : x
  2. Step 2: Convert to fraction form
    84,704/180,364 = 180,364/x
  3. Step 3: Cross multiply
    84,704x = 180,364 × 180,364
  4. Step 4: Simplify right side
    84,704x = 32,531,172,496
  5. Step 5: Solve for x
    x = 32,531,172,496/84,704
  6. Step 6: Final answer
    x = 384,057.10

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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.