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Finding the Third Proportional to 108,488.25 and 233,624.25

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Solution

The third proportional to 108,488.25 and 233,624.25 is: 503,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488.25 : 233,624.25 = 233,624.25 : x
  2. Step 2: Convert to fraction form
    108,488.25/233,624.25 = 233,624.25/x
  3. Step 3: Cross multiply
    108,488.25x = 233,624.25 × 233,624.25
  4. Step 4: Simplify right side
    108,488.25x = 54,580,290,188.06
  5. Step 5: Solve for x
    x = 54,580,290,188.06/108,488.25
  6. Step 6: Final answer
    x = 503,098.63

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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.