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Finding the Third Proportional to 183,143 and 274,522

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Solution

The third proportional to 183,143 and 274,522 is: 411,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,143 : 274,522 = 274,522 : x
  2. Step 2: Convert to fraction form
    183,143/274,522 = 274,522/x
  3. Step 3: Cross multiply
    183,143x = 274,522 × 274,522
  4. Step 4: Simplify right side
    183,143x = 75,362,328,484
  5. Step 5: Solve for x
    x = 75,362,328,484/183,143
  6. Step 6: Final answer
    x = 411,494.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.