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Finding the Third Proportional to 168,972 and 357,357

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Solution

The third proportional to 168,972 and 357,357 is: 755,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,972 : 357,357 = 357,357 : x
  2. Step 2: Convert to fraction form
    168,972/357,357 = 357,357/x
  3. Step 3: Cross multiply
    168,972x = 357,357 × 357,357
  4. Step 4: Simplify right side
    168,972x = 127,704,025,449
  5. Step 5: Solve for x
    x = 127,704,025,449/168,972
  6. Step 6: Final answer
    x = 755,770.34

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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.