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Finding the Third Proportional to 183,474 and 343,908

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Solution

The third proportional to 183,474 and 343,908 is: 644,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,474 : 343,908 = 343,908 : x
  2. Step 2: Convert to fraction form
    183,474/343,908 = 343,908/x
  3. Step 3: Cross multiply
    183,474x = 343,908 × 343,908
  4. Step 4: Simplify right side
    183,474x = 118,272,712,464
  5. Step 5: Solve for x
    x = 118,272,712,464/183,474
  6. Step 6: Final answer
    x = 644,629.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.