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Finding the Third Proportional to 196,842 and 313,362

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Solution

The third proportional to 196,842 and 313,362 is: 498,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,842 : 313,362 = 313,362 : x
  2. Step 2: Convert to fraction form
    196,842/313,362 = 313,362/x
  3. Step 3: Cross multiply
    196,842x = 313,362 × 313,362
  4. Step 4: Simplify right side
    196,842x = 98,195,743,044
  5. Step 5: Solve for x
    x = 98,195,743,044/196,842
  6. Step 6: Final answer
    x = 498,855.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.