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Finding the Third Proportional to 241,177.50 and 514,392.75

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Solution

The third proportional to 241,177.50 and 514,392.75 is: 1,097,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,177.50 : 514,392.75 = 514,392.75 : x
  2. Step 2: Convert to fraction form
    241,177.50/514,392.75 = 514,392.75/x
  3. Step 3: Cross multiply
    241,177.50x = 514,392.75 × 514,392.75
  4. Step 4: Simplify right side
    241,177.50x = 264,599,901,252.56
  5. Step 5: Solve for x
    x = 264,599,901,252.56/241,177.50
  6. Step 6: Final answer
    x = 1,097,116.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.