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Finding the Third Proportional to 173,384 and 272,057

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Solution

The third proportional to 173,384 and 272,057 is: 426,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,384 : 272,057 = 272,057 : x
  2. Step 2: Convert to fraction form
    173,384/272,057 = 272,057/x
  3. Step 3: Cross multiply
    173,384x = 272,057 × 272,057
  4. Step 4: Simplify right side
    173,384x = 74,015,011,249
  5. Step 5: Solve for x
    x = 74,015,011,249/173,384
  6. Step 6: Final answer
    x = 426,884.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.