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Finding the Third Proportional to 178,276 and 371,496

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Solution

The third proportional to 178,276 and 371,496 is: 774,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,276 : 371,496 = 371,496 : x
  2. Step 2: Convert to fraction form
    178,276/371,496 = 371,496/x
  3. Step 3: Cross multiply
    178,276x = 371,496 × 371,496
  4. Step 4: Simplify right side
    178,276x = 138,009,278,016
  5. Step 5: Solve for x
    x = 138,009,278,016/178,276
  6. Step 6: Final answer
    x = 774,132.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.