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Finding the Third Proportional to 167,333 and 248,119.50

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Solution

The third proportional to 167,333 and 248,119.50 is: 367,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,333 : 248,119.50 = 248,119.50 : x
  2. Step 2: Convert to fraction form
    167,333/248,119.50 = 248,119.50/x
  3. Step 3: Cross multiply
    167,333x = 248,119.50 × 248,119.50
  4. Step 4: Simplify right side
    167,333x = 61,563,286,280.25
  5. Step 5: Solve for x
    x = 61,563,286,280.25/167,333
  6. Step 6: Final answer
    x = 367,908.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.