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Finding the Third Proportional to 225,389 and 322,285

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Solution

The third proportional to 225,389 and 322,285 is: 460,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,389 : 322,285 = 322,285 : x
  2. Step 2: Convert to fraction form
    225,389/322,285 = 322,285/x
  3. Step 3: Cross multiply
    225,389x = 322,285 × 322,285
  4. Step 4: Simplify right side
    225,389x = 103,867,621,225
  5. Step 5: Solve for x
    x = 103,867,621,225/225,389
  6. Step 6: Final answer
    x = 460,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.