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Finding the Third Proportional to 252,733.50 and 380,126.25

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Solution

The third proportional to 252,733.50 and 380,126.25 is: 571,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,733.50 : 380,126.25 = 380,126.25 : x
  2. Step 2: Convert to fraction form
    252,733.50/380,126.25 = 380,126.25/x
  3. Step 3: Cross multiply
    252,733.50x = 380,126.25 × 380,126.25
  4. Step 4: Simplify right side
    252,733.50x = 144,495,965,939.06
  5. Step 5: Solve for x
    x = 144,495,965,939.06/252,733.50
  6. Step 6: Final answer
    x = 571,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.