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Finding the Third Proportional to 142,968 and 309,474

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Solution

The third proportional to 142,968 and 309,474 is: 669,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,968 : 309,474 = 309,474 : x
  2. Step 2: Convert to fraction form
    142,968/309,474 = 309,474/x
  3. Step 3: Cross multiply
    142,968x = 309,474 × 309,474
  4. Step 4: Simplify right side
    142,968x = 95,774,156,676
  5. Step 5: Solve for x
    x = 95,774,156,676/142,968
  6. Step 6: Final answer
    x = 669,899.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.