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Finding the Third Proportional to 185,878 and 288,225

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Solution

The third proportional to 185,878 and 288,225 is: 446,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878 : 288,225 = 288,225 : x
  2. Step 2: Convert to fraction form
    185,878/288,225 = 288,225/x
  3. Step 3: Cross multiply
    185,878x = 288,225 × 288,225
  4. Step 4: Simplify right side
    185,878x = 83,073,650,625
  5. Step 5: Solve for x
    x = 83,073,650,625/185,878
  6. Step 6: Final answer
    x = 446,925.68

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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.