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Finding the Third Proportional to 169,886 and 369,256

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Solution

The third proportional to 169,886 and 369,256 is: 802,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,886 : 369,256 = 369,256 : x
  2. Step 2: Convert to fraction form
    169,886/369,256 = 369,256/x
  3. Step 3: Cross multiply
    169,886x = 369,256 × 369,256
  4. Step 4: Simplify right side
    169,886x = 136,349,993,536
  5. Step 5: Solve for x
    x = 136,349,993,536/169,886
  6. Step 6: Final answer
    x = 802,597.00

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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.