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Finding the Third Proportional to 142,469 and 304,007

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Solution

The third proportional to 142,469 and 304,007 is: 648,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,469 : 304,007 = 304,007 : x
  2. Step 2: Convert to fraction form
    142,469/304,007 = 304,007/x
  3. Step 3: Cross multiply
    142,469x = 304,007 × 304,007
  4. Step 4: Simplify right side
    142,469x = 92,420,256,049
  5. Step 5: Solve for x
    x = 92,420,256,049/142,469
  6. Step 6: Final answer
    x = 648,704.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.