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Finding the Third Proportional to 150,856.13 and 207,805.69

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Solution

The third proportional to 150,856.13 and 207,805.69 is: 286,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856.13 : 207,805.69 = 207,805.69 : x
  2. Step 2: Convert to fraction form
    150,856.13/207,805.69 = 207,805.69/x
  3. Step 3: Cross multiply
    150,856.13x = 207,805.69 × 207,805.69
  4. Step 4: Simplify right side
    150,856.13x = 43,183,203,757.35
  5. Step 5: Solve for x
    x = 43,183,203,757.35/150,856.13
  6. Step 6: Final answer
    x = 286,254.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.