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Finding the Third Proportional to 114,464.25 and 177,446.25

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Solution

The third proportional to 114,464.25 and 177,446.25 is: 275,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.25 : 177,446.25 = 177,446.25 : x
  2. Step 2: Convert to fraction form
    114,464.25/177,446.25 = 177,446.25/x
  3. Step 3: Cross multiply
    114,464.25x = 177,446.25 × 177,446.25
  4. Step 4: Simplify right side
    114,464.25x = 31,487,171,639.06
  5. Step 5: Solve for x
    x = 31,487,171,639.06/114,464.25
  6. Step 6: Final answer
    x = 275,083.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.