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Finding the Third Proportional to 138,294 and 213,924

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Solution

The third proportional to 138,294 and 213,924 is: 330,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294 : 213,924 = 213,924 : x
  2. Step 2: Convert to fraction form
    138,294/213,924 = 213,924/x
  3. Step 3: Cross multiply
    138,294x = 213,924 × 213,924
  4. Step 4: Simplify right side
    138,294x = 45,763,477,776
  5. Step 5: Solve for x
    x = 45,763,477,776/138,294
  6. Step 6: Final answer
    x = 330,914.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.