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Finding the Third Proportional to 340,099.25 and 508,372

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Solution

The third proportional to 340,099.25 and 508,372 is: 759,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,099.25 : 508,372 = 508,372 : x
  2. Step 2: Convert to fraction form
    340,099.25/508,372 = 508,372/x
  3. Step 3: Cross multiply
    340,099.25x = 508,372 × 508,372
  4. Step 4: Simplify right side
    340,099.25x = 258,442,090,384
  5. Step 5: Solve for x
    x = 258,442,090,384/340,099.25
  6. Step 6: Final answer
    x = 759,901.97

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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.