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Finding the Third Proportional to 158,206 and 244,294

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Solution

The third proportional to 158,206 and 244,294 is: 377,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,206 : 244,294 = 244,294 : x
  2. Step 2: Convert to fraction form
    158,206/244,294 = 244,294/x
  3. Step 3: Cross multiply
    158,206x = 244,294 × 244,294
  4. Step 4: Simplify right side
    158,206x = 59,679,558,436
  5. Step 5: Solve for x
    x = 59,679,558,436/158,206
  6. Step 6: Final answer
    x = 377,226.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.