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Finding the Third Proportional to 172,663 and 262,594

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Solution

The third proportional to 172,663 and 262,594 is: 399,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,663 : 262,594 = 262,594 : x
  2. Step 2: Convert to fraction form
    172,663/262,594 = 262,594/x
  3. Step 3: Cross multiply
    172,663x = 262,594 × 262,594
  4. Step 4: Simplify right side
    172,663x = 68,955,608,836
  5. Step 5: Solve for x
    x = 68,955,608,836/172,663
  6. Step 6: Final answer
    x = 399,365.29

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