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Finding the Third Proportional to 250,097.31 and 548,804.11

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Solution

The third proportional to 250,097.31 and 548,804.11 is: 1,204,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,097.31 : 548,804.11 = 548,804.11 : x
  2. Step 2: Convert to fraction form
    250,097.31/548,804.11 = 548,804.11/x
  3. Step 3: Cross multiply
    250,097.31x = 548,804.11 × 548,804.11
  4. Step 4: Simplify right side
    250,097.31x = 301,185,950,466.89
  5. Step 5: Solve for x
    x = 301,185,950,466.89/250,097.31
  6. Step 6: Final answer
    x = 1,204,275.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.