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Finding the Third Proportional to 189,076.50 and 292,731.75

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Solution

The third proportional to 189,076.50 and 292,731.75 is: 453,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.50 : 292,731.75 = 292,731.75 : x
  2. Step 2: Convert to fraction form
    189,076.50/292,731.75 = 292,731.75/x
  3. Step 3: Cross multiply
    189,076.50x = 292,731.75 × 292,731.75
  4. Step 4: Simplify right side
    189,076.50x = 85,691,877,458.06
  5. Step 5: Solve for x
    x = 85,691,877,458.06/189,076.50
  6. Step 6: Final answer
    x = 453,212.73

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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.