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Finding the Third Proportional to 172,946 and 262,963

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Solution

The third proportional to 172,946 and 262,963 is: 399,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946 : 262,963 = 262,963 : x
  2. Step 2: Convert to fraction form
    172,946/262,963 = 262,963/x
  3. Step 3: Cross multiply
    172,946x = 262,963 × 262,963
  4. Step 4: Simplify right side
    172,946x = 69,149,539,369
  5. Step 5: Solve for x
    x = 69,149,539,369/172,946
  6. Step 6: Final answer
    x = 399,833.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.