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Finding the Third Proportional to 178,441 and 286,885

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Solution

The third proportional to 178,441 and 286,885 is: 461,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,441 : 286,885 = 286,885 : x
  2. Step 2: Convert to fraction form
    178,441/286,885 = 286,885/x
  3. Step 3: Cross multiply
    178,441x = 286,885 × 286,885
  4. Step 4: Simplify right side
    178,441x = 82,303,003,225
  5. Step 5: Solve for x
    x = 82,303,003,225/178,441
  6. Step 6: Final answer
    x = 461,233.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.