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Finding the Third Proportional to 227,484.75 and 333,840

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Solution

The third proportional to 227,484.75 and 333,840 is: 489,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484.75 : 333,840 = 333,840 : x
  2. Step 2: Convert to fraction form
    227,484.75/333,840 = 333,840/x
  3. Step 3: Cross multiply
    227,484.75x = 333,840 × 333,840
  4. Step 4: Simplify right side
    227,484.75x = 111,449,145,600
  5. Step 5: Solve for x
    x = 111,449,145,600/227,484.75
  6. Step 6: Final answer
    x = 489,919.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.