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Finding the Third Proportional to 114,457.50 and 248,617.69

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Solution

The third proportional to 114,457.50 and 248,617.69 is: 540,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,457.50 : 248,617.69 = 248,617.69 : x
  2. Step 2: Convert to fraction form
    114,457.50/248,617.69 = 248,617.69/x
  3. Step 3: Cross multiply
    114,457.50x = 248,617.69 × 248,617.69
  4. Step 4: Simplify right side
    114,457.50x = 61,810,754,537.85
  5. Step 5: Solve for x
    x = 61,810,754,537.85/114,457.50
  6. Step 6: Final answer
    x = 540,032.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.