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Finding the Third Proportional to 232,345.97 and 344,201.91

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Solution

The third proportional to 232,345.97 and 344,201.91 is: 509,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,345.97 : 344,201.91 = 344,201.91 : x
  2. Step 2: Convert to fraction form
    232,345.97/344,201.91 = 344,201.91/x
  3. Step 3: Cross multiply
    232,345.97x = 344,201.91 × 344,201.91
  4. Step 4: Simplify right side
    232,345.97x = 118,474,952,266.13
  5. Step 5: Solve for x
    x = 118,474,952,266.13/232,345.97
  6. Step 6: Final answer
    x = 509,907.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.