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Finding the Third Proportional to 160,530 and 351,510

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Solution

The third proportional to 160,530 and 351,510 is: 769,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,530 : 351,510 = 351,510 : x
  2. Step 2: Convert to fraction form
    160,530/351,510 = 351,510/x
  3. Step 3: Cross multiply
    160,530x = 351,510 × 351,510
  4. Step 4: Simplify right side
    160,530x = 123,559,280,100
  5. Step 5: Solve for x
    x = 123,559,280,100/160,530
  6. Step 6: Final answer
    x = 769,695.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.