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Finding the Third Proportional to 210,044.25 and 313,695

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Solution

The third proportional to 210,044.25 and 313,695 is: 468,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,044.25 : 313,695 = 313,695 : x
  2. Step 2: Convert to fraction form
    210,044.25/313,695 = 313,695/x
  3. Step 3: Cross multiply
    210,044.25x = 313,695 × 313,695
  4. Step 4: Simplify right side
    210,044.25x = 98,404,553,025
  5. Step 5: Solve for x
    x = 98,404,553,025/210,044.25
  6. Step 6: Final answer
    x = 468,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.