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Finding the Third Proportional to 169,754 and 369,944

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Solution

The third proportional to 169,754 and 369,944 is: 806,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,754 : 369,944 = 369,944 : x
  2. Step 2: Convert to fraction form
    169,754/369,944 = 369,944/x
  3. Step 3: Cross multiply
    169,754x = 369,944 × 369,944
  4. Step 4: Simplify right side
    169,754x = 136,858,563,136
  5. Step 5: Solve for x
    x = 136,858,563,136/169,754
  6. Step 6: Final answer
    x = 806,217.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.