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Finding the Third Proportional to 122,258 and 252,373

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Solution

The third proportional to 122,258 and 252,373 is: 520,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,258 : 252,373 = 252,373 : x
  2. Step 2: Convert to fraction form
    122,258/252,373 = 252,373/x
  3. Step 3: Cross multiply
    122,258x = 252,373 × 252,373
  4. Step 4: Simplify right side
    122,258x = 63,692,131,129
  5. Step 5: Solve for x
    x = 63,692,131,129/122,258
  6. Step 6: Final answer
    x = 520,964.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.