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Finding the Third Proportional to 197,586 and 306,516

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Solution

The third proportional to 197,586 and 306,516 is: 475,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,586 : 306,516 = 306,516 : x
  2. Step 2: Convert to fraction form
    197,586/306,516 = 306,516/x
  3. Step 3: Cross multiply
    197,586x = 306,516 × 306,516
  4. Step 4: Simplify right side
    197,586x = 93,952,058,256
  5. Step 5: Solve for x
    x = 93,952,058,256/197,586
  6. Step 6: Final answer
    x = 475,499.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.