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Finding the Third Proportional to 150,007 and 219,087

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Solution

The third proportional to 150,007 and 219,087 is: 319,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,007 : 219,087 = 219,087 : x
  2. Step 2: Convert to fraction form
    150,007/219,087 = 219,087/x
  3. Step 3: Cross multiply
    150,007x = 219,087 × 219,087
  4. Step 4: Simplify right side
    150,007x = 47,999,113,569
  5. Step 5: Solve for x
    x = 47,999,113,569/150,007
  6. Step 6: Final answer
    x = 319,979.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.