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Finding the Third Proportional to 109,371 and 239,316

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Solution

The third proportional to 109,371 and 239,316 is: 523,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,371 : 239,316 = 239,316 : x
  2. Step 2: Convert to fraction form
    109,371/239,316 = 239,316/x
  3. Step 3: Cross multiply
    109,371x = 239,316 × 239,316
  4. Step 4: Simplify right side
    109,371x = 57,272,147,856
  5. Step 5: Solve for x
    x = 57,272,147,856/109,371
  6. Step 6: Final answer
    x = 523,650.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.