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Finding the Third Proportional to 131,036.50 and 284,321

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Solution

The third proportional to 131,036.50 and 284,321 is: 616,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036.50 : 284,321 = 284,321 : x
  2. Step 2: Convert to fraction form
    131,036.50/284,321 = 284,321/x
  3. Step 3: Cross multiply
    131,036.50x = 284,321 × 284,321
  4. Step 4: Simplify right side
    131,036.50x = 80,838,431,041
  5. Step 5: Solve for x
    x = 80,838,431,041/131,036.50
  6. Step 6: Final answer
    x = 616,915.37

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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.