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Finding the Third Proportional to 183,411.84 and 280,551.09

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Solution

The third proportional to 183,411.84 and 280,551.09 is: 429,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,411.84 : 280,551.09 = 280,551.09 : x
  2. Step 2: Convert to fraction form
    183,411.84/280,551.09 = 280,551.09/x
  3. Step 3: Cross multiply
    183,411.84x = 280,551.09 × 280,551.09
  4. Step 4: Simplify right side
    183,411.84x = 78,708,916,204.32
  5. Step 5: Solve for x
    x = 78,708,916,204.32/183,411.84
  6. Step 6: Final answer
    x = 429,137.59

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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.