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Finding the Third Proportional to 193,531 and 284,605

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Solution

The third proportional to 193,531 and 284,605 is: 418,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,531 : 284,605 = 284,605 : x
  2. Step 2: Convert to fraction form
    193,531/284,605 = 284,605/x
  3. Step 3: Cross multiply
    193,531x = 284,605 × 284,605
  4. Step 4: Simplify right side
    193,531x = 81,000,006,025
  5. Step 5: Solve for x
    x = 81,000,006,025/193,531
  6. Step 6: Final answer
    x = 418,537.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.