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Finding the Third Proportional to 183,108 and 282,957

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Solution

The third proportional to 183,108 and 282,957 is: 437,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,108 : 282,957 = 282,957 : x
  2. Step 2: Convert to fraction form
    183,108/282,957 = 282,957/x
  3. Step 3: Cross multiply
    183,108x = 282,957 × 282,957
  4. Step 4: Simplify right side
    183,108x = 80,064,663,849
  5. Step 5: Solve for x
    x = 80,064,663,849/183,108
  6. Step 6: Final answer
    x = 437,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.