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Finding the Third Proportional to 116,588.50 and 251,014

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Solution

The third proportional to 116,588.50 and 251,014 is: 540,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,588.50 : 251,014 = 251,014 : x
  2. Step 2: Convert to fraction form
    116,588.50/251,014 = 251,014/x
  3. Step 3: Cross multiply
    116,588.50x = 251,014 × 251,014
  4. Step 4: Simplify right side
    116,588.50x = 63,008,028,196
  5. Step 5: Solve for x
    x = 63,008,028,196/116,588.50
  6. Step 6: Final answer
    x = 540,430.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.