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Finding the Third Proportional to 227,792 and 341,580

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Solution

The third proportional to 227,792 and 341,580 is: 512,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,792 : 341,580 = 341,580 : x
  2. Step 2: Convert to fraction form
    227,792/341,580 = 341,580/x
  3. Step 3: Cross multiply
    227,792x = 341,580 × 341,580
  4. Step 4: Simplify right side
    227,792x = 116,676,896,400
  5. Step 5: Solve for x
    x = 116,676,896,400/227,792
  6. Step 6: Final answer
    x = 512,208.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.