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Finding the Third Proportional to 102,608 and 224,032

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Solution

The third proportional to 102,608 and 224,032 is: 489,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,608 : 224,032 = 224,032 : x
  2. Step 2: Convert to fraction form
    102,608/224,032 = 224,032/x
  3. Step 3: Cross multiply
    102,608x = 224,032 × 224,032
  4. Step 4: Simplify right side
    102,608x = 50,190,337,024
  5. Step 5: Solve for x
    x = 50,190,337,024/102,608
  6. Step 6: Final answer
    x = 489,146.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.