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Finding the Third Proportional to 185,544 and 288,015

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Solution

The third proportional to 185,544 and 288,015 is: 447,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,544 : 288,015 = 288,015 : x
  2. Step 2: Convert to fraction form
    185,544/288,015 = 288,015/x
  3. Step 3: Cross multiply
    185,544x = 288,015 × 288,015
  4. Step 4: Simplify right side
    185,544x = 82,952,640,225
  5. Step 5: Solve for x
    x = 82,952,640,225/185,544
  6. Step 6: Final answer
    x = 447,078.00

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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.