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Finding the Third Proportional to 108,707.25 and 233,485.50

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Solution

The third proportional to 108,707.25 and 233,485.50 is: 501,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,707.25 : 233,485.50 = 233,485.50 : x
  2. Step 2: Convert to fraction form
    108,707.25/233,485.50 = 233,485.50/x
  3. Step 3: Cross multiply
    108,707.25x = 233,485.50 × 233,485.50
  4. Step 4: Simplify right side
    108,707.25x = 54,515,478,710.25
  5. Step 5: Solve for x
    x = 54,515,478,710.25/108,707.25
  6. Step 6: Final answer
    x = 501,488.90

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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.