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Finding the Third Proportional to 169,908 and 369,352

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Solution

The third proportional to 169,908 and 369,352 is: 802,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,908 : 369,352 = 369,352 : x
  2. Step 2: Convert to fraction form
    169,908/369,352 = 369,352/x
  3. Step 3: Cross multiply
    169,908x = 369,352 × 369,352
  4. Step 4: Simplify right side
    169,908x = 136,420,899,904
  5. Step 5: Solve for x
    x = 136,420,899,904/169,908
  6. Step 6: Final answer
    x = 802,910.40

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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.