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Finding the Third Proportional to 225,391 and 322,288

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Solution

The third proportional to 225,391 and 322,288 is: 460,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,391 : 322,288 = 322,288 : x
  2. Step 2: Convert to fraction form
    225,391/322,288 = 322,288/x
  3. Step 3: Cross multiply
    225,391x = 322,288 × 322,288
  4. Step 4: Simplify right side
    225,391x = 103,869,554,944
  5. Step 5: Solve for x
    x = 103,869,554,944/225,391
  6. Step 6: Final answer
    x = 460,841.63

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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.