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Finding the Third Proportional to 140,852 and 218,429

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Solution

The third proportional to 140,852 and 218,429 is: 338,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,852 : 218,429 = 218,429 : x
  2. Step 2: Convert to fraction form
    140,852/218,429 = 218,429/x
  3. Step 3: Cross multiply
    140,852x = 218,429 × 218,429
  4. Step 4: Simplify right side
    140,852x = 47,711,228,041
  5. Step 5: Solve for x
    x = 47,711,228,041/140,852
  6. Step 6: Final answer
    x = 338,733.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.