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Finding the Third Proportional to 148,996 and 313,304

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Solution

The third proportional to 148,996 and 313,304 is: 658,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,996 : 313,304 = 313,304 : x
  2. Step 2: Convert to fraction form
    148,996/313,304 = 313,304/x
  3. Step 3: Cross multiply
    148,996x = 313,304 × 313,304
  4. Step 4: Simplify right side
    148,996x = 98,159,396,416
  5. Step 5: Solve for x
    x = 98,159,396,416/148,996
  6. Step 6: Final answer
    x = 658,805.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.