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Finding the Third Proportional to 164,156 and 268,023

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Solution

The third proportional to 164,156 and 268,023 is: 437,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,156 : 268,023 = 268,023 : x
  2. Step 2: Convert to fraction form
    164,156/268,023 = 268,023/x
  3. Step 3: Cross multiply
    164,156x = 268,023 × 268,023
  4. Step 4: Simplify right side
    164,156x = 71,836,328,529
  5. Step 5: Solve for x
    x = 71,836,328,529/164,156
  6. Step 6: Final answer
    x = 437,610.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.