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Finding the Third Proportional to 155,216.25 and 239,699.25

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Solution

The third proportional to 155,216.25 and 239,699.25 is: 370,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,216.25 : 239,699.25 = 239,699.25 : x
  2. Step 2: Convert to fraction form
    155,216.25/239,699.25 = 239,699.25/x
  3. Step 3: Cross multiply
    155,216.25x = 239,699.25 × 239,699.25
  4. Step 4: Simplify right side
    155,216.25x = 57,455,730,450.56
  5. Step 5: Solve for x
    x = 57,455,730,450.56/155,216.25
  6. Step 6: Final answer
    x = 370,165.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.