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Finding the Third Proportional to 111,728.25 and 255,261.38

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Solution

The third proportional to 111,728.25 and 255,261.38 is: 583,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,728.25 : 255,261.38 = 255,261.38 : x
  2. Step 2: Convert to fraction form
    111,728.25/255,261.38 = 255,261.38/x
  3. Step 3: Cross multiply
    111,728.25x = 255,261.38 × 255,261.38
  4. Step 4: Simplify right side
    111,728.25x = 65,158,369,566.89
  5. Step 5: Solve for x
    x = 65,158,369,566.89/111,728.25
  6. Step 6: Final answer
    x = 583,186.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.