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Finding the Third Proportional to 172,303 and 365,063

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Solution

The third proportional to 172,303 and 365,063 is: 773,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303 : 365,063 = 365,063 : x
  2. Step 2: Convert to fraction form
    172,303/365,063 = 365,063/x
  3. Step 3: Cross multiply
    172,303x = 365,063 × 365,063
  4. Step 4: Simplify right side
    172,303x = 133,270,993,969
  5. Step 5: Solve for x
    x = 133,270,993,969/172,303
  6. Step 6: Final answer
    x = 773,468.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.