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Finding the Third Proportional to 160,082 and 347,304

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Solution

The third proportional to 160,082 and 347,304 is: 753,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,082 : 347,304 = 347,304 : x
  2. Step 2: Convert to fraction form
    160,082/347,304 = 347,304/x
  3. Step 3: Cross multiply
    160,082x = 347,304 × 347,304
  4. Step 4: Simplify right side
    160,082x = 120,620,068,416
  5. Step 5: Solve for x
    x = 120,620,068,416/160,082
  6. Step 6: Final answer
    x = 753,489.26

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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.