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Finding the Third Proportional to 172,634 and 262,554

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Solution

The third proportional to 172,634 and 262,554 is: 399,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,634 : 262,554 = 262,554 : x
  2. Step 2: Convert to fraction form
    172,634/262,554 = 262,554/x
  3. Step 3: Cross multiply
    172,634x = 262,554 × 262,554
  4. Step 4: Simplify right side
    172,634x = 68,934,602,916
  5. Step 5: Solve for x
    x = 68,934,602,916/172,634
  6. Step 6: Final answer
    x = 399,310.70

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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.