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Finding the Third Proportional to 131,038 and 284,323

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Solution

The third proportional to 131,038 and 284,323 is: 616,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,038 : 284,323 = 284,323 : x
  2. Step 2: Convert to fraction form
    131,038/284,323 = 284,323/x
  3. Step 3: Cross multiply
    131,038x = 284,323 × 284,323
  4. Step 4: Simplify right side
    131,038x = 80,839,568,329
  5. Step 5: Solve for x
    x = 80,839,568,329/131,038
  6. Step 6: Final answer
    x = 616,916.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.