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Finding the Third Proportional to 169,091 and 253,101

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Solution

The third proportional to 169,091 and 253,101 is: 378,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,091 : 253,101 = 253,101 : x
  2. Step 2: Convert to fraction form
    169,091/253,101 = 253,101/x
  3. Step 3: Cross multiply
    169,091x = 253,101 × 253,101
  4. Step 4: Simplify right side
    169,091x = 64,060,116,201
  5. Step 5: Solve for x
    x = 64,060,116,201/169,091
  6. Step 6: Final answer
    x = 378,849.95

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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.