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Finding the Third Proportional to 178,711.50 and 384,882

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Solution

The third proportional to 178,711.50 and 384,882 is: 828,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,711.50 : 384,882 = 384,882 : x
  2. Step 2: Convert to fraction form
    178,711.50/384,882 = 384,882/x
  3. Step 3: Cross multiply
    178,711.50x = 384,882 × 384,882
  4. Step 4: Simplify right side
    178,711.50x = 148,134,153,924
  5. Step 5: Solve for x
    x = 148,134,153,924/178,711.50
  6. Step 6: Final answer
    x = 828,901.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.