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Finding the Third Proportional to 183,502 and 268,172

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Solution

The third proportional to 183,502 and 268,172 is: 391,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,502 : 268,172 = 268,172 : x
  2. Step 2: Convert to fraction form
    183,502/268,172 = 268,172/x
  3. Step 3: Cross multiply
    183,502x = 268,172 × 268,172
  4. Step 4: Simplify right side
    183,502x = 71,916,221,584
  5. Step 5: Solve for x
    x = 71,916,221,584/183,502
  6. Step 6: Final answer
    x = 391,909.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.