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Finding the Third Proportional to 174,938 and 360,918

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Solution

The third proportional to 174,938 and 360,918 is: 744,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938 : 360,918 = 360,918 : x
  2. Step 2: Convert to fraction form
    174,938/360,918 = 360,918/x
  3. Step 3: Cross multiply
    174,938x = 360,918 × 360,918
  4. Step 4: Simplify right side
    174,938x = 130,261,802,724
  5. Step 5: Solve for x
    x = 130,261,802,724/174,938
  6. Step 6: Final answer
    x = 744,616.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.