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Finding the Third Proportional to 185,858 and 288,195

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Solution

The third proportional to 185,858 and 288,195 is: 446,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,858 : 288,195 = 288,195 : x
  2. Step 2: Convert to fraction form
    185,858/288,195 = 288,195/x
  3. Step 3: Cross multiply
    185,858x = 288,195 × 288,195
  4. Step 4: Simplify right side
    185,858x = 83,056,358,025
  5. Step 5: Solve for x
    x = 83,056,358,025/185,858
  6. Step 6: Final answer
    x = 446,880.73

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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.