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Finding the Third Proportional to 111,380 and 160,924.50

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Solution

The third proportional to 111,380 and 160,924.50 is: 232,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,380 : 160,924.50 = 160,924.50 : x
  2. Step 2: Convert to fraction form
    111,380/160,924.50 = 160,924.50/x
  3. Step 3: Cross multiply
    111,380x = 160,924.50 × 160,924.50
  4. Step 4: Simplify right side
    111,380x = 25,896,694,700.25
  5. Step 5: Solve for x
    x = 25,896,694,700.25/111,380
  6. Step 6: Final answer
    x = 232,507.58

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.