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Finding the Third Proportional to 169,812 and 369,106

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Solution

The third proportional to 169,812 and 369,106 is: 802,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,812 : 369,106 = 369,106 : x
  2. Step 2: Convert to fraction form
    169,812/369,106 = 369,106/x
  3. Step 3: Cross multiply
    169,812x = 369,106 × 369,106
  4. Step 4: Simplify right side
    169,812x = 136,239,239,236
  5. Step 5: Solve for x
    x = 136,239,239,236/169,812
  6. Step 6: Final answer
    x = 802,294.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.