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Finding the Third Proportional to 169,788 and 369,060

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Solution

The third proportional to 169,788 and 369,060 is: 802,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,788 : 369,060 = 369,060 : x
  2. Step 2: Convert to fraction form
    169,788/369,060 = 369,060/x
  3. Step 3: Cross multiply
    169,788x = 369,060 × 369,060
  4. Step 4: Simplify right side
    169,788x = 136,205,283,600
  5. Step 5: Solve for x
    x = 136,205,283,600/169,788
  6. Step 6: Final answer
    x = 802,207.95

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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.