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Finding the Third Proportional to 155,466 and 322,614

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Solution

The third proportional to 155,466 and 322,614 is: 669,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,466 : 322,614 = 322,614 : x
  2. Step 2: Convert to fraction form
    155,466/322,614 = 322,614/x
  3. Step 3: Cross multiply
    155,466x = 322,614 × 322,614
  4. Step 4: Simplify right side
    155,466x = 104,079,792,996
  5. Step 5: Solve for x
    x = 104,079,792,996/155,466
  6. Step 6: Final answer
    x = 669,469.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.