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Finding the Third Proportional to 73,848 and 158,196

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Solution

The third proportional to 73,848 and 158,196 is: 338,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,848 : 158,196 = 158,196 : x
  2. Step 2: Convert to fraction form
    73,848/158,196 = 158,196/x
  3. Step 3: Cross multiply
    73,848x = 158,196 × 158,196
  4. Step 4: Simplify right side
    73,848x = 25,025,974,416
  5. Step 5: Solve for x
    x = 25,025,974,416/73,848
  6. Step 6: Final answer
    x = 338,884.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.