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Finding the Third Proportional to 194,404 and 248,412

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Solution

The third proportional to 194,404 and 248,412 is: 317,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,404 : 248,412 = 248,412 : x
  2. Step 2: Convert to fraction form
    194,404/248,412 = 248,412/x
  3. Step 3: Cross multiply
    194,404x = 248,412 × 248,412
  4. Step 4: Simplify right side
    194,404x = 61,708,521,744
  5. Step 5: Solve for x
    x = 61,708,521,744/194,404
  6. Step 6: Final answer
    x = 317,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.