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Finding the Third Proportional to 170,998 and 370,976

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Solution

The third proportional to 170,998 and 370,976 is: 804,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,998 : 370,976 = 370,976 : x
  2. Step 2: Convert to fraction form
    170,998/370,976 = 370,976/x
  3. Step 3: Cross multiply
    170,998x = 370,976 × 370,976
  4. Step 4: Simplify right side
    170,998x = 137,623,192,576
  5. Step 5: Solve for x
    x = 137,623,192,576/170,998
  6. Step 6: Final answer
    x = 804,823.40

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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.