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Finding the Third Proportional to 131,359.50 and 208,035

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Solution

The third proportional to 131,359.50 and 208,035 is: 329,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,359.50 : 208,035 = 208,035 : x
  2. Step 2: Convert to fraction form
    131,359.50/208,035 = 208,035/x
  3. Step 3: Cross multiply
    131,359.50x = 208,035 × 208,035
  4. Step 4: Simplify right side
    131,359.50x = 43,278,561,225
  5. Step 5: Solve for x
    x = 43,278,561,225/131,359.50
  6. Step 6: Final answer
    x = 329,466.55

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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.