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Finding the Third Proportional to 150,856.50 and 207,806.06

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Solution

The third proportional to 150,856.50 and 207,806.06 is: 286,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856.50 : 207,806.06 = 207,806.06 : x
  2. Step 2: Convert to fraction form
    150,856.50/207,806.06 = 207,806.06/x
  3. Step 3: Cross multiply
    150,856.50x = 207,806.06 × 207,806.06
  4. Step 4: Simplify right side
    150,856.50x = 43,183,359,611.75
  5. Step 5: Solve for x
    x = 43,183,359,611.75/150,856.50
  6. Step 6: Final answer
    x = 286,254.55

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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.