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Finding the Third Proportional to 169,440 and 225,894.25

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Solution

The third proportional to 169,440 and 225,894.25 is: 301,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,440 : 225,894.25 = 225,894.25 : x
  2. Step 2: Convert to fraction form
    169,440/225,894.25 = 225,894.25/x
  3. Step 3: Cross multiply
    169,440x = 225,894.25 × 225,894.25
  4. Step 4: Simplify right side
    169,440x = 51,028,212,183.06
  5. Step 5: Solve for x
    x = 51,028,212,183.06/169,440
  6. Step 6: Final answer
    x = 301,158.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.