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Finding the Third Proportional to 108,472.50 and 233,588.25

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Solution

The third proportional to 108,472.50 and 233,588.25 is: 503,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,472.50 : 233,588.25 = 233,588.25 : x
  2. Step 2: Convert to fraction form
    108,472.50/233,588.25 = 233,588.25/x
  3. Step 3: Cross multiply
    108,472.50x = 233,588.25 × 233,588.25
  4. Step 4: Simplify right side
    108,472.50x = 54,563,470,538.06
  5. Step 5: Solve for x
    x = 54,563,470,538.06/108,472.50
  6. Step 6: Final answer
    x = 503,016.62

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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.