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Finding the Third Proportional to 153,367 and 328,057

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Solution

The third proportional to 153,367 and 328,057 is: 701,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,367 : 328,057 = 328,057 : x
  2. Step 2: Convert to fraction form
    153,367/328,057 = 328,057/x
  3. Step 3: Cross multiply
    153,367x = 328,057 × 328,057
  4. Step 4: Simplify right side
    153,367x = 107,621,395,249
  5. Step 5: Solve for x
    x = 107,621,395,249/153,367
  6. Step 6: Final answer
    x = 701,724.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.