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Finding the Third Proportional to 183,699 and 281,002

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Solution

The third proportional to 183,699 and 281,002 is: 429,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,699 : 281,002 = 281,002 : x
  2. Step 2: Convert to fraction form
    183,699/281,002 = 281,002/x
  3. Step 3: Cross multiply
    183,699x = 281,002 × 281,002
  4. Step 4: Simplify right side
    183,699x = 78,962,124,004
  5. Step 5: Solve for x
    x = 78,962,124,004/183,699
  6. Step 6: Final answer
    x = 429,845.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.