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Finding the Third Proportional to 172,910 and 253,131

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Solution

The third proportional to 172,910 and 253,131 is: 370,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910 : 253,131 = 253,131 : x
  2. Step 2: Convert to fraction form
    172,910/253,131 = 253,131/x
  3. Step 3: Cross multiply
    172,910x = 253,131 × 253,131
  4. Step 4: Simplify right side
    172,910x = 64,075,303,161
  5. Step 5: Solve for x
    x = 64,075,303,161/172,910
  6. Step 6: Final answer
    x = 370,570.26

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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.