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Finding the Third Proportional to 164,510 and 353,493

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Solution

The third proportional to 164,510 and 353,493 is: 759,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510 : 353,493 = 353,493 : x
  2. Step 2: Convert to fraction form
    164,510/353,493 = 353,493/x
  3. Step 3: Cross multiply
    164,510x = 353,493 × 353,493
  4. Step 4: Simplify right side
    164,510x = 124,957,301,049
  5. Step 5: Solve for x
    x = 124,957,301,049/164,510
  6. Step 6: Final answer
    x = 759,572.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.