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Finding the Third Proportional to 147,728 and 322,536

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Solution

The third proportional to 147,728 and 322,536 is: 704,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,728 : 322,536 = 322,536 : x
  2. Step 2: Convert to fraction form
    147,728/322,536 = 322,536/x
  3. Step 3: Cross multiply
    147,728x = 322,536 × 322,536
  4. Step 4: Simplify right side
    147,728x = 104,029,471,296
  5. Step 5: Solve for x
    x = 104,029,471,296/147,728
  6. Step 6: Final answer
    x = 704,196.03

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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.