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Finding the Third Proportional to 108,472.50 and 233,599.50

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Solution

The third proportional to 108,472.50 and 233,599.50 is: 503,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,472.50 : 233,599.50 = 233,599.50 : x
  2. Step 2: Convert to fraction form
    108,472.50/233,599.50 = 233,599.50/x
  3. Step 3: Cross multiply
    108,472.50x = 233,599.50 × 233,599.50
  4. Step 4: Simplify right side
    108,472.50x = 54,568,726,400.25
  5. Step 5: Solve for x
    x = 54,568,726,400.25/108,472.50
  6. Step 6: Final answer
    x = 503,065.08

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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.