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Finding the Third Proportional to 191,640.38 and 403,138.13

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Solution

The third proportional to 191,640.38 and 403,138.13 is: 848,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,640.38 : 403,138.13 = 403,138.13 : x
  2. Step 2: Convert to fraction form
    191,640.38/403,138.13 = 403,138.13/x
  3. Step 3: Cross multiply
    191,640.38x = 403,138.13 × 403,138.13
  4. Step 4: Simplify right side
    191,640.38x = 162,520,347,828.52
  5. Step 5: Solve for x
    x = 162,520,347,828.52/191,640.38
  6. Step 6: Final answer
    x = 848,048.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.