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Finding the Third Proportional to 183,677 and 264,559

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Solution

The third proportional to 183,677 and 264,559 is: 381,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,677 : 264,559 = 264,559 : x
  2. Step 2: Convert to fraction form
    183,677/264,559 = 264,559/x
  3. Step 3: Cross multiply
    183,677x = 264,559 × 264,559
  4. Step 4: Simplify right side
    183,677x = 69,991,464,481
  5. Step 5: Solve for x
    x = 69,991,464,481/183,677
  6. Step 6: Final answer
    x = 381,057.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.