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Finding the Third Proportional to 226,324 and 341,792

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Solution

The third proportional to 226,324 and 341,792 is: 516,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,324 : 341,792 = 341,792 : x
  2. Step 2: Convert to fraction form
    226,324/341,792 = 341,792/x
  3. Step 3: Cross multiply
    226,324x = 341,792 × 341,792
  4. Step 4: Simplify right side
    226,324x = 116,821,771,264
  5. Step 5: Solve for x
    x = 116,821,771,264/226,324
  6. Step 6: Final answer
    x = 516,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.