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Finding the Third Proportional to 178,346 and 391,052.75

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Solution

The third proportional to 178,346 and 391,052.75 is: 857,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,346 : 391,052.75 = 391,052.75 : x
  2. Step 2: Convert to fraction form
    178,346/391,052.75 = 391,052.75/x
  3. Step 3: Cross multiply
    178,346x = 391,052.75 × 391,052.75
  4. Step 4: Simplify right side
    178,346x = 152,922,253,282.56
  5. Step 5: Solve for x
    x = 152,922,253,282.56/178,346
  6. Step 6: Final answer
    x = 857,447.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.