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Finding the Third Proportional to 84,250 and 180,345

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Solution

The third proportional to 84,250 and 180,345 is: 386,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,250 : 180,345 = 180,345 : x
  2. Step 2: Convert to fraction form
    84,250/180,345 = 180,345/x
  3. Step 3: Cross multiply
    84,250x = 180,345 × 180,345
  4. Step 4: Simplify right side
    84,250x = 32,524,319,025
  5. Step 5: Solve for x
    x = 32,524,319,025/84,250
  6. Step 6: Final answer
    x = 386,045.33

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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.