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Finding the Third Proportional to 126,490 and 268,556

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Solution

The third proportional to 126,490 and 268,556 is: 570,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,490 : 268,556 = 268,556 : x
  2. Step 2: Convert to fraction form
    126,490/268,556 = 268,556/x
  3. Step 3: Cross multiply
    126,490x = 268,556 × 268,556
  4. Step 4: Simplify right side
    126,490x = 72,122,325,136
  5. Step 5: Solve for x
    x = 72,122,325,136/126,490
  6. Step 6: Final answer
    x = 570,182.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.