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Finding the Third Proportional to 132,961.50 and 291,756.94

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Solution

The third proportional to 132,961.50 and 291,756.94 is: 640,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,961.50 : 291,756.94 = 291,756.94 : x
  2. Step 2: Convert to fraction form
    132,961.50/291,756.94 = 291,756.94/x
  3. Step 3: Cross multiply
    132,961.50x = 291,756.94 × 291,756.94
  4. Step 4: Simplify right side
    132,961.50x = 85,122,110,579.38
  5. Step 5: Solve for x
    x = 85,122,110,579.38/132,961.50
  6. Step 6: Final answer
    x = 640,201.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.