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Finding the Third Proportional to 187,006 and 282,749

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Solution

The third proportional to 187,006 and 282,749 is: 427,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,006 : 282,749 = 282,749 : x
  2. Step 2: Convert to fraction form
    187,006/282,749 = 282,749/x
  3. Step 3: Cross multiply
    187,006x = 282,749 × 282,749
  4. Step 4: Simplify right side
    187,006x = 79,946,997,001
  5. Step 5: Solve for x
    x = 79,946,997,001/187,006
  6. Step 6: Final answer
    x = 427,510.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.