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Finding the Third Proportional to 142,264 and 311,312

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Solution

The third proportional to 142,264 and 311,312 is: 681,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,264 : 311,312 = 311,312 : x
  2. Step 2: Convert to fraction form
    142,264/311,312 = 311,312/x
  3. Step 3: Cross multiply
    142,264x = 311,312 × 311,312
  4. Step 4: Simplify right side
    142,264x = 96,915,161,344
  5. Step 5: Solve for x
    x = 96,915,161,344/142,264
  6. Step 6: Final answer
    x = 681,234.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.