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Finding the Third Proportional to 133,521 and 285,996

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Solution

The third proportional to 133,521 and 285,996 is: 612,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,521 : 285,996 = 285,996 : x
  2. Step 2: Convert to fraction form
    133,521/285,996 = 285,996/x
  3. Step 3: Cross multiply
    133,521x = 285,996 × 285,996
  4. Step 4: Simplify right side
    133,521x = 81,793,712,016
  5. Step 5: Solve for x
    x = 81,793,712,016/133,521
  6. Step 6: Final answer
    x = 612,590.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.