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Finding the Third Proportional to 126,362 and 277,996

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Solution

The third proportional to 126,362 and 277,996 is: 611,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,362 : 277,996 = 277,996 : x
  2. Step 2: Convert to fraction form
    126,362/277,996 = 277,996/x
  3. Step 3: Cross multiply
    126,362x = 277,996 × 277,996
  4. Step 4: Simplify right side
    126,362x = 77,281,776,016
  5. Step 5: Solve for x
    x = 77,281,776,016/126,362
  6. Step 6: Final answer
    x = 611,590.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.