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Finding the Third Proportional to 116,866.50 and 248,311.50

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Solution

The third proportional to 116,866.50 and 248,311.50 is: 527,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,866.50 : 248,311.50 = 248,311.50 : x
  2. Step 2: Convert to fraction form
    116,866.50/248,311.50 = 248,311.50/x
  3. Step 3: Cross multiply
    116,866.50x = 248,311.50 × 248,311.50
  4. Step 4: Simplify right side
    116,866.50x = 61,658,601,032.25
  5. Step 5: Solve for x
    x = 61,658,601,032.25/116,866.50
  6. Step 6: Final answer
    x = 527,598.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.