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Finding the Third Proportional to 169,952 and 373,357

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Solution

The third proportional to 169,952 and 373,357 is: 820,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,952 : 373,357 = 373,357 : x
  2. Step 2: Convert to fraction form
    169,952/373,357 = 373,357/x
  3. Step 3: Cross multiply
    169,952x = 373,357 × 373,357
  4. Step 4: Simplify right side
    169,952x = 139,395,449,449
  5. Step 5: Solve for x
    x = 139,395,449,449/169,952
  6. Step 6: Final answer
    x = 820,204.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.