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Finding the Third Proportional to 251,516.25 and 380,524.50

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Solution

The third proportional to 251,516.25 and 380,524.50 is: 575,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,516.25 : 380,524.50 = 380,524.50 : x
  2. Step 2: Convert to fraction form
    251,516.25/380,524.50 = 380,524.50/x
  3. Step 3: Cross multiply
    251,516.25x = 380,524.50 × 380,524.50
  4. Step 4: Simplify right side
    251,516.25x = 144,798,895,100.25
  5. Step 5: Solve for x
    x = 144,798,895,100.25/251,516.25
  6. Step 6: Final answer
    x = 575,703.94

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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.