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Finding the Third Proportional to 84,704 and 180,656

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Solution

The third proportional to 84,704 and 180,656 is: 385,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,704 : 180,656 = 180,656 : x
  2. Step 2: Convert to fraction form
    84,704/180,656 = 180,656/x
  3. Step 3: Cross multiply
    84,704x = 180,656 × 180,656
  4. Step 4: Simplify right side
    84,704x = 32,636,590,336
  5. Step 5: Solve for x
    x = 32,636,590,336/84,704
  6. Step 6: Final answer
    x = 385,301.64

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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.