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Finding the Third Proportional to 157,908 and 333,558

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Solution

The third proportional to 157,908 and 333,558 is: 704,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,908 : 333,558 = 333,558 : x
  2. Step 2: Convert to fraction form
    157,908/333,558 = 333,558/x
  3. Step 3: Cross multiply
    157,908x = 333,558 × 333,558
  4. Step 4: Simplify right side
    157,908x = 111,260,939,364
  5. Step 5: Solve for x
    x = 111,260,939,364/157,908
  6. Step 6: Final answer
    x = 704,593.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.