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Finding the Third Proportional to 134,865.38 and 295,128.56

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Solution

The third proportional to 134,865.38 and 295,128.56 is: 645,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,865.38 : 295,128.56 = 295,128.56 : x
  2. Step 2: Convert to fraction form
    134,865.38/295,128.56 = 295,128.56/x
  3. Step 3: Cross multiply
    134,865.38x = 295,128.56 × 295,128.56
  4. Step 4: Simplify right side
    134,865.38x = 87,100,868,403.32
  5. Step 5: Solve for x
    x = 87,100,868,403.32/134,865.38
  6. Step 6: Final answer
    x = 645,835.66

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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.