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Finding the Third Proportional to 150,727.50 and 207,630

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Solution

The third proportional to 150,727.50 and 207,630 is: 286,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,727.50 : 207,630 = 207,630 : x
  2. Step 2: Convert to fraction form
    150,727.50/207,630 = 207,630/x
  3. Step 3: Cross multiply
    150,727.50x = 207,630 × 207,630
  4. Step 4: Simplify right side
    150,727.50x = 43,110,216,900
  5. Step 5: Solve for x
    x = 43,110,216,900/150,727.50
  6. Step 6: Final answer
    x = 286,014.28

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