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Finding the Third Proportional to 133,041.38 and 295,606.13

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Solution

The third proportional to 133,041.38 and 295,606.13 is: 656,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041.38 : 295,606.13 = 295,606.13 : x
  2. Step 2: Convert to fraction form
    133,041.38/295,606.13 = 295,606.13/x
  3. Step 3: Cross multiply
    133,041.38x = 295,606.13 × 295,606.13
  4. Step 4: Simplify right side
    133,041.38x = 87,382,981,137.52
  5. Step 5: Solve for x
    x = 87,382,981,137.52/133,041.38
  6. Step 6: Final answer
    x = 656,810.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.