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Finding the Third Proportional to 169,800 and 369,086

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Solution

The third proportional to 169,800 and 369,086 is: 802,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,800 : 369,086 = 369,086 : x
  2. Step 2: Convert to fraction form
    169,800/369,086 = 369,086/x
  3. Step 3: Cross multiply
    169,800x = 369,086 × 369,086
  4. Step 4: Simplify right side
    169,800x = 136,224,475,396
  5. Step 5: Solve for x
    x = 136,224,475,396/169,800
  6. Step 6: Final answer
    x = 802,264.28

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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.