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Finding the Third Proportional to 183,691 and 280,806

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Solution

The third proportional to 183,691 and 280,806 is: 429,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,691 : 280,806 = 280,806 : x
  2. Step 2: Convert to fraction form
    183,691/280,806 = 280,806/x
  3. Step 3: Cross multiply
    183,691x = 280,806 × 280,806
  4. Step 4: Simplify right side
    183,691x = 78,852,009,636
  5. Step 5: Solve for x
    x = 78,852,009,636/183,691
  6. Step 6: Final answer
    x = 429,264.41

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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.