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Finding the Third Proportional to 131,191.88 and 207,409.50

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Solution

The third proportional to 131,191.88 and 207,409.50 is: 327,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,191.88 : 207,409.50 = 207,409.50 : x
  2. Step 2: Convert to fraction form
    131,191.88/207,409.50 = 207,409.50/x
  3. Step 3: Cross multiply
    131,191.88x = 207,409.50 × 207,409.50
  4. Step 4: Simplify right side
    131,191.88x = 43,018,700,690.25
  5. Step 5: Solve for x
    x = 43,018,700,690.25/131,191.88
  6. Step 6: Final answer
    x = 327,906.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.