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Finding the Third Proportional to 183,462 and 280,664

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Solution

The third proportional to 183,462 and 280,664 is: 429,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,462 : 280,664 = 280,664 : x
  2. Step 2: Convert to fraction form
    183,462/280,664 = 280,664/x
  3. Step 3: Cross multiply
    183,462x = 280,664 × 280,664
  4. Step 4: Simplify right side
    183,462x = 78,772,280,896
  5. Step 5: Solve for x
    x = 78,772,280,896/183,462
  6. Step 6: Final answer
    x = 429,365.65

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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.