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Finding the Third Proportional to 225,019.13 and 480,170.25

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Solution

The third proportional to 225,019.13 and 480,170.25 is: 1,024,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,019.13 : 480,170.25 = 480,170.25 : x
  2. Step 2: Convert to fraction form
    225,019.13/480,170.25 = 480,170.25/x
  3. Step 3: Cross multiply
    225,019.13x = 480,170.25 × 480,170.25
  4. Step 4: Simplify right side
    225,019.13x = 230,563,468,985.06
  5. Step 5: Solve for x
    x = 230,563,468,985.06/225,019.13
  6. Step 6: Final answer
    x = 1,024,639.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.