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Finding the Third Proportional to 154,194 and 224,727.75

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Solution

The third proportional to 154,194 and 224,727.75 is: 327,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194 : 224,727.75 = 224,727.75 : x
  2. Step 2: Convert to fraction form
    154,194/224,727.75 = 224,727.75/x
  3. Step 3: Cross multiply
    154,194x = 224,727.75 × 224,727.75
  4. Step 4: Simplify right side
    154,194x = 50,502,561,620.06
  5. Step 5: Solve for x
    x = 50,502,561,620.06/154,194
  6. Step 6: Final answer
    x = 327,526.11

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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.