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Finding the Third Proportional to 169,896 and 369,328

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Solution

The third proportional to 169,896 and 369,328 is: 802,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,896 : 369,328 = 369,328 : x
  2. Step 2: Convert to fraction form
    169,896/369,328 = 369,328/x
  3. Step 3: Cross multiply
    169,896x = 369,328 × 369,328
  4. Step 4: Simplify right side
    169,896x = 136,403,171,584
  5. Step 5: Solve for x
    x = 136,403,171,584/169,896
  6. Step 6: Final answer
    x = 802,862.76

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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.