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Finding the Third Proportional to 251,536.50 and 379,658.25

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Solution

The third proportional to 251,536.50 and 379,658.25 is: 573,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,536.50 : 379,658.25 = 379,658.25 : x
  2. Step 2: Convert to fraction form
    251,536.50/379,658.25 = 379,658.25/x
  3. Step 3: Cross multiply
    251,536.50x = 379,658.25 × 379,658.25
  4. Step 4: Simplify right side
    251,536.50x = 144,140,386,793.06
  5. Step 5: Solve for x
    x = 144,140,386,793.06/251,536.50
  6. Step 6: Final answer
    x = 573,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.