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Finding the Third Proportional to 303,156 and 505,229.91

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Solution

The third proportional to 303,156 and 505,229.91 is: 841,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,156 : 505,229.91 = 505,229.91 : x
  2. Step 2: Convert to fraction form
    303,156/505,229.91 = 505,229.91/x
  3. Step 3: Cross multiply
    303,156x = 505,229.91 × 505,229.91
  4. Step 4: Simplify right side
    303,156x = 255,257,258,169.38
  5. Step 5: Solve for x
    x = 255,257,258,169.38/303,156
  6. Step 6: Final answer
    x = 841,999.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.