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Finding the Third Proportional to 147,653 and 322,372

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Solution

The third proportional to 147,653 and 322,372 is: 703,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,653 : 322,372 = 322,372 : x
  2. Step 2: Convert to fraction form
    147,653/322,372 = 322,372/x
  3. Step 3: Cross multiply
    147,653x = 322,372 × 322,372
  4. Step 4: Simplify right side
    147,653x = 103,923,706,384
  5. Step 5: Solve for x
    x = 103,923,706,384/147,653
  6. Step 6: Final answer
    x = 703,837.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.