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Finding the Third Proportional to 84,648 and 180,960

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Solution

The third proportional to 84,648 and 180,960 is: 386,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,648 : 180,960 = 180,960 : x
  2. Step 2: Convert to fraction form
    84,648/180,960 = 180,960/x
  3. Step 3: Cross multiply
    84,648x = 180,960 × 180,960
  4. Step 4: Simplify right side
    84,648x = 32,746,521,600
  5. Step 5: Solve for x
    x = 32,746,521,600/84,648
  6. Step 6: Final answer
    x = 386,855.23

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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.