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Finding the Third Proportional to 178,642.50 and 284,367

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Solution

The third proportional to 178,642.50 and 284,367 is: 452,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,642.50 : 284,367 = 284,367 : x
  2. Step 2: Convert to fraction form
    178,642.50/284,367 = 284,367/x
  3. Step 3: Cross multiply
    178,642.50x = 284,367 × 284,367
  4. Step 4: Simplify right side
    178,642.50x = 80,864,590,689
  5. Step 5: Solve for x
    x = 80,864,590,689/178,642.50
  6. Step 6: Final answer
    x = 452,661.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.