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Finding the Third Proportional to 143,400 and 296,007

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Solution

The third proportional to 143,400 and 296,007 is: 611,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,400 : 296,007 = 296,007 : x
  2. Step 2: Convert to fraction form
    143,400/296,007 = 296,007/x
  3. Step 3: Cross multiply
    143,400x = 296,007 × 296,007
  4. Step 4: Simplify right side
    143,400x = 87,620,144,049
  5. Step 5: Solve for x
    x = 87,620,144,049/143,400
  6. Step 6: Final answer
    x = 611,019.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.