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Finding the Third Proportional to 183,501 and 268,170.38

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Solution

The third proportional to 183,501 and 268,170.38 is: 391,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,501 : 268,170.38 = 268,170.38 : x
  2. Step 2: Convert to fraction form
    183,501/268,170.38 = 268,170.38/x
  3. Step 3: Cross multiply
    183,501x = 268,170.38 × 268,170.38
  4. Step 4: Simplify right side
    183,501x = 71,915,350,027.64
  5. Step 5: Solve for x
    x = 71,915,350,027.64/183,501
  6. Step 6: Final answer
    x = 391,907.13

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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.