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Finding the Third Proportional to 107,946 and 237,357

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Solution

The third proportional to 107,946 and 237,357 is: 521,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,946 : 237,357 = 237,357 : x
  2. Step 2: Convert to fraction form
    107,946/237,357 = 237,357/x
  3. Step 3: Cross multiply
    107,946x = 237,357 × 237,357
  4. Step 4: Simplify right side
    107,946x = 56,338,345,449
  5. Step 5: Solve for x
    x = 56,338,345,449/107,946
  6. Step 6: Final answer
    x = 521,912.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.