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Finding the Third Proportional to 215,038 and 341,625

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Solution

The third proportional to 215,038 and 341,625 is: 542,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,038 : 341,625 = 341,625 : x
  2. Step 2: Convert to fraction form
    215,038/341,625 = 341,625/x
  3. Step 3: Cross multiply
    215,038x = 341,625 × 341,625
  4. Step 4: Simplify right side
    215,038x = 116,707,640,625
  5. Step 5: Solve for x
    x = 116,707,640,625/215,038
  6. Step 6: Final answer
    x = 542,730.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.