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Finding the Third Proportional to 70,166 and 150,294

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Solution

The third proportional to 70,166 and 150,294 is: 321,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166 : 150,294 = 150,294 : x
  2. Step 2: Convert to fraction form
    70,166/150,294 = 150,294/x
  3. Step 3: Cross multiply
    70,166x = 150,294 × 150,294
  4. Step 4: Simplify right side
    70,166x = 22,588,286,436
  5. Step 5: Solve for x
    x = 22,588,286,436/70,166
  6. Step 6: Final answer
    x = 321,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.