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Finding the Third Proportional to 170,980 and 370,938

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Solution

The third proportional to 170,980 and 370,938 is: 804,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,980 : 370,938 = 370,938 : x
  2. Step 2: Convert to fraction form
    170,980/370,938 = 370,938/x
  3. Step 3: Cross multiply
    170,980x = 370,938 × 370,938
  4. Step 4: Simplify right side
    170,980x = 137,594,999,844
  5. Step 5: Solve for x
    x = 137,594,999,844/170,980
  6. Step 6: Final answer
    x = 804,743.24

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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.