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Finding the Third Proportional to 131,347 and 208,016.50

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Solution

The third proportional to 131,347 and 208,016.50 is: 329,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,347 : 208,016.50 = 208,016.50 : x
  2. Step 2: Convert to fraction form
    131,347/208,016.50 = 208,016.50/x
  3. Step 3: Cross multiply
    131,347x = 208,016.50 × 208,016.50
  4. Step 4: Simplify right side
    131,347x = 43,270,864,272.25
  5. Step 5: Solve for x
    x = 43,270,864,272.25/131,347
  6. Step 6: Final answer
    x = 329,439.30

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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.