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Finding the Third Proportional to 122,402 and 268,852

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Solution

The third proportional to 122,402 and 268,852 is: 590,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,402 : 268,852 = 268,852 : x
  2. Step 2: Convert to fraction form
    122,402/268,852 = 268,852/x
  3. Step 3: Cross multiply
    122,402x = 268,852 × 268,852
  4. Step 4: Simplify right side
    122,402x = 72,281,397,904
  5. Step 5: Solve for x
    x = 72,281,397,904/122,402
  6. Step 6: Final answer
    x = 590,524.65

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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.