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Finding the Third Proportional to 118,437.75 and 160,796.25

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Solution

The third proportional to 118,437.75 and 160,796.25 is: 218,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,437.75 : 160,796.25 = 160,796.25 : x
  2. Step 2: Convert to fraction form
    118,437.75/160,796.25 = 160,796.25/x
  3. Step 3: Cross multiply
    118,437.75x = 160,796.25 × 160,796.25
  4. Step 4: Simplify right side
    118,437.75x = 25,855,434,014.06
  5. Step 5: Solve for x
    x = 25,855,434,014.06/118,437.75
  6. Step 6: Final answer
    x = 218,304.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.