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Finding the Third Proportional to 234,393.75 and 361,320.75

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Solution

The third proportional to 234,393.75 and 361,320.75 is: 556,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,393.75 : 361,320.75 = 361,320.75 : x
  2. Step 2: Convert to fraction form
    234,393.75/361,320.75 = 361,320.75/x
  3. Step 3: Cross multiply
    234,393.75x = 361,320.75 × 361,320.75
  4. Step 4: Simplify right side
    234,393.75x = 130,552,684,380.56
  5. Step 5: Solve for x
    x = 130,552,684,380.56/234,393.75
  6. Step 6: Final answer
    x = 556,980.23

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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.