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Finding the Third Proportional to 237,112.13 and 355,672.88

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Solution

The third proportional to 237,112.13 and 355,672.88 is: 533,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,112.13 : 355,672.88 = 355,672.88 : x
  2. Step 2: Convert to fraction form
    237,112.13/355,672.88 = 355,672.88/x
  3. Step 3: Cross multiply
    237,112.13x = 355,672.88 × 355,672.88
  4. Step 4: Simplify right side
    237,112.13x = 126,503,194,010.77
  5. Step 5: Solve for x
    x = 126,503,194,010.77/237,112.13
  6. Step 6: Final answer
    x = 533,516.34

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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.