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Finding the Third Proportional to 169,860 and 369,252

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Solution

The third proportional to 169,860 and 369,252 is: 802,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,860 : 369,252 = 369,252 : x
  2. Step 2: Convert to fraction form
    169,860/369,252 = 369,252/x
  3. Step 3: Cross multiply
    169,860x = 369,252 × 369,252
  4. Step 4: Simplify right side
    169,860x = 136,347,039,504
  5. Step 5: Solve for x
    x = 136,347,039,504/169,860
  6. Step 6: Final answer
    x = 802,702.46

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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.