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Finding the Third Proportional to 225,019.13 and 328,640.06

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Solution

The third proportional to 225,019.13 and 328,640.06 is: 479,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,019.13 : 328,640.06 = 328,640.06 : x
  2. Step 2: Convert to fraction form
    225,019.13/328,640.06 = 328,640.06/x
  3. Step 3: Cross multiply
    225,019.13x = 328,640.06 × 328,640.06
  4. Step 4: Simplify right side
    225,019.13x = 108,004,290,680.00
  5. Step 5: Solve for x
    x = 108,004,290,680.00/225,019.13
  6. Step 6: Final answer
    x = 479,978.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.