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Finding the Third Proportional to 215,734 and 337,684

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Solution

The third proportional to 215,734 and 337,684 is: 528,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,734 : 337,684 = 337,684 : x
  2. Step 2: Convert to fraction form
    215,734/337,684 = 337,684/x
  3. Step 3: Cross multiply
    215,734x = 337,684 × 337,684
  4. Step 4: Simplify right side
    215,734x = 114,030,483,856
  5. Step 5: Solve for x
    x = 114,030,483,856/215,734
  6. Step 6: Final answer
    x = 528,569.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.