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Finding the Third Proportional to 202,123 and 440,127

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Solution

The third proportional to 202,123 and 440,127 is: 958,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,123 : 440,127 = 440,127 : x
  2. Step 2: Convert to fraction form
    202,123/440,127 = 440,127/x
  3. Step 3: Cross multiply
    202,123x = 440,127 × 440,127
  4. Step 4: Simplify right side
    202,123x = 193,711,776,129
  5. Step 5: Solve for x
    x = 193,711,776,129/202,123
  6. Step 6: Final answer
    x = 958,385.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.