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Finding the Third Proportional to 160,100 and 370,604

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Solution

The third proportional to 160,100 and 370,604 is: 857,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,100 : 370,604 = 370,604 : x
  2. Step 2: Convert to fraction form
    160,100/370,604 = 370,604/x
  3. Step 3: Cross multiply
    160,100x = 370,604 × 370,604
  4. Step 4: Simplify right side
    160,100x = 137,347,324,816
  5. Step 5: Solve for x
    x = 137,347,324,816/160,100
  6. Step 6: Final answer
    x = 857,884.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.