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Finding the Third Proportional to 172,773 and 252,963

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Solution

The third proportional to 172,773 and 252,963 is: 370,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,773 : 252,963 = 252,963 : x
  2. Step 2: Convert to fraction form
    172,773/252,963 = 252,963/x
  3. Step 3: Cross multiply
    172,773x = 252,963 × 252,963
  4. Step 4: Simplify right side
    172,773x = 63,990,279,369
  5. Step 5: Solve for x
    x = 63,990,279,369/172,773
  6. Step 6: Final answer
    x = 370,371.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.