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Finding the Third Proportional to 151,068 and 320,082

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Solution

The third proportional to 151,068 and 320,082 is: 678,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,068 : 320,082 = 320,082 : x
  2. Step 2: Convert to fraction form
    151,068/320,082 = 320,082/x
  3. Step 3: Cross multiply
    151,068x = 320,082 × 320,082
  4. Step 4: Simplify right side
    151,068x = 102,452,486,724
  5. Step 5: Solve for x
    x = 102,452,486,724/151,068
  6. Step 6: Final answer
    x = 678,187.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.