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Finding the Third Proportional to 214,288.88 and 320,382

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Solution

The third proportional to 214,288.88 and 320,382 is: 479,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,288.88 : 320,382 = 320,382 : x
  2. Step 2: Convert to fraction form
    214,288.88/320,382 = 320,382/x
  3. Step 3: Cross multiply
    214,288.88x = 320,382 × 320,382
  4. Step 4: Simplify right side
    214,288.88x = 102,644,625,924
  5. Step 5: Solve for x
    x = 102,644,625,924/214,288.88
  6. Step 6: Final answer
    x = 479,001.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.