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Finding the Third Proportional to 175,035.09 and 356,496.19

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Solution

The third proportional to 175,035.09 and 356,496.19 is: 726,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,035.09 : 356,496.19 = 356,496.19 : x
  2. Step 2: Convert to fraction form
    175,035.09/356,496.19 = 356,496.19/x
  3. Step 3: Cross multiply
    175,035.09x = 356,496.19 × 356,496.19
  4. Step 4: Simplify right side
    175,035.09x = 127,089,531,702.04
  5. Step 5: Solve for x
    x = 127,089,531,702.04/175,035.09
  6. Step 6: Final answer
    x = 726,080.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.