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Finding the Third Proportional to 116,005.50 and 247,185

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Solution

The third proportional to 116,005.50 and 247,185 is: 526,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,005.50 : 247,185 = 247,185 : x
  2. Step 2: Convert to fraction form
    116,005.50/247,185 = 247,185/x
  3. Step 3: Cross multiply
    116,005.50x = 247,185 × 247,185
  4. Step 4: Simplify right side
    116,005.50x = 61,100,424,225
  5. Step 5: Solve for x
    x = 61,100,424,225/116,005.50
  6. Step 6: Final answer
    x = 526,702.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.