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Finding the Third Proportional to 109,356 and 237,684

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Solution

The third proportional to 109,356 and 237,684 is: 516,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356 : 237,684 = 237,684 : x
  2. Step 2: Convert to fraction form
    109,356/237,684 = 237,684/x
  3. Step 3: Cross multiply
    109,356x = 237,684 × 237,684
  4. Step 4: Simplify right side
    109,356x = 56,493,683,856
  5. Step 5: Solve for x
    x = 56,493,683,856/109,356
  6. Step 6: Final answer
    x = 516,603.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.