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Finding the Third Proportional to 143,034 and 308,552

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Solution

The third proportional to 143,034 and 308,552 is: 665,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,034 : 308,552 = 308,552 : x
  2. Step 2: Convert to fraction form
    143,034/308,552 = 308,552/x
  3. Step 3: Cross multiply
    143,034x = 308,552 × 308,552
  4. Step 4: Simplify right side
    143,034x = 95,204,336,704
  5. Step 5: Solve for x
    x = 95,204,336,704/143,034
  6. Step 6: Final answer
    x = 665,606.34

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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.