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Finding the Third Proportional to 183,734 and 275,602

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Solution

The third proportional to 183,734 and 275,602 is: 413,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,734 : 275,602 = 275,602 : x
  2. Step 2: Convert to fraction form
    183,734/275,602 = 275,602/x
  3. Step 3: Cross multiply
    183,734x = 275,602 × 275,602
  4. Step 4: Simplify right side
    183,734x = 75,956,462,404
  5. Step 5: Solve for x
    x = 75,956,462,404/183,734
  6. Step 6: Final answer
    x = 413,404.50

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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.