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Finding the Third Proportional to 202,038 and 313,695

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Solution

The third proportional to 202,038 and 313,695 is: 487,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038 : 313,695 = 313,695 : x
  2. Step 2: Convert to fraction form
    202,038/313,695 = 313,695/x
  3. Step 3: Cross multiply
    202,038x = 313,695 × 313,695
  4. Step 4: Simplify right side
    202,038x = 98,404,553,025
  5. Step 5: Solve for x
    x = 98,404,553,025/202,038
  6. Step 6: Final answer
    x = 487,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.