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Finding the Third Proportional to 170,425 and 370,777

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Solution

The third proportional to 170,425 and 370,777 is: 806,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,425 : 370,777 = 370,777 : x
  2. Step 2: Convert to fraction form
    170,425/370,777 = 370,777/x
  3. Step 3: Cross multiply
    170,425x = 370,777 × 370,777
  4. Step 4: Simplify right side
    170,425x = 137,475,583,729
  5. Step 5: Solve for x
    x = 137,475,583,729/170,425
  6. Step 6: Final answer
    x = 806,663.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.