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Finding the Third Proportional to 155,264 and 336,896

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Solution

The third proportional to 155,264 and 336,896 is: 731,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,264 : 336,896 = 336,896 : x
  2. Step 2: Convert to fraction form
    155,264/336,896 = 336,896/x
  3. Step 3: Cross multiply
    155,264x = 336,896 × 336,896
  4. Step 4: Simplify right side
    155,264x = 113,498,914,816
  5. Step 5: Solve for x
    x = 113,498,914,816/155,264
  6. Step 6: Final answer
    x = 731,006.00

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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.