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Finding the Third Proportional to 169,306 and 253,131

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Solution

The third proportional to 169,306 and 253,131 is: 378,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,306 : 253,131 = 253,131 : x
  2. Step 2: Convert to fraction form
    169,306/253,131 = 253,131/x
  3. Step 3: Cross multiply
    169,306x = 253,131 × 253,131
  4. Step 4: Simplify right side
    169,306x = 64,075,303,161
  5. Step 5: Solve for x
    x = 64,075,303,161/169,306
  6. Step 6: Final answer
    x = 378,458.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.