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Finding the Third Proportional to 140,914 and 248,351

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Solution

The third proportional to 140,914 and 248,351 is: 437,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914 : 248,351 = 248,351 : x
  2. Step 2: Convert to fraction form
    140,914/248,351 = 248,351/x
  3. Step 3: Cross multiply
    140,914x = 248,351 × 248,351
  4. Step 4: Simplify right side
    140,914x = 61,678,219,201
  5. Step 5: Solve for x
    x = 61,678,219,201/140,914
  6. Step 6: Final answer
    x = 437,701.15

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.