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Finding the Third Proportional to 196,859 and 305,402

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Solution

The third proportional to 196,859 and 305,402 is: 473,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,859 : 305,402 = 305,402 : x
  2. Step 2: Convert to fraction form
    196,859/305,402 = 305,402/x
  3. Step 3: Cross multiply
    196,859x = 305,402 × 305,402
  4. Step 4: Simplify right side
    196,859x = 93,270,381,604
  5. Step 5: Solve for x
    x = 93,270,381,604/196,859
  6. Step 6: Final answer
    x = 473,792.82

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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.