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Finding the Third Proportional to 108,461.25 and 233,571.94

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Solution

The third proportional to 108,461.25 and 233,571.94 is: 502,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,461.25 : 233,571.94 = 233,571.94 : x
  2. Step 2: Convert to fraction form
    108,461.25/233,571.94 = 233,571.94/x
  3. Step 3: Cross multiply
    108,461.25x = 233,571.94 × 233,571.94
  4. Step 4: Simplify right side
    108,461.25x = 54,555,849,987.50
  5. Step 5: Solve for x
    x = 54,555,849,987.50/108,461.25
  6. Step 6: Final answer
    x = 502,998.54

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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.