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Finding the Third Proportional to 84,650 and 180,964

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Solution

The third proportional to 84,650 and 180,964 is: 386,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,650 : 180,964 = 180,964 : x
  2. Step 2: Convert to fraction form
    84,650/180,964 = 180,964/x
  3. Step 3: Cross multiply
    84,650x = 180,964 × 180,964
  4. Step 4: Simplify right side
    84,650x = 32,747,969,296
  5. Step 5: Solve for x
    x = 32,747,969,296/84,650
  6. Step 6: Final answer
    x = 386,863.19

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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.