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Finding the Third Proportional to 108,364.50 and 235,494

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Solution

The third proportional to 108,364.50 and 235,494 is: 511,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,364.50 : 235,494 = 235,494 : x
  2. Step 2: Convert to fraction form
    108,364.50/235,494 = 235,494/x
  3. Step 3: Cross multiply
    108,364.50x = 235,494 × 235,494
  4. Step 4: Simplify right side
    108,364.50x = 55,457,424,036
  5. Step 5: Solve for x
    x = 55,457,424,036/108,364.50
  6. Step 6: Final answer
    x = 511,767.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.