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Finding the Third Proportional to 183,684.38 and 280,999.13

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Solution

The third proportional to 183,684.38 and 280,999.13 is: 429,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,684.38 : 280,999.13 = 280,999.13 : x
  2. Step 2: Convert to fraction form
    183,684.38/280,999.13 = 280,999.13/x
  3. Step 3: Cross multiply
    183,684.38x = 280,999.13 × 280,999.13
  4. Step 4: Simplify right side
    183,684.38x = 78,960,508,250.77
  5. Step 5: Solve for x
    x = 78,960,508,250.77/183,684.38
  6. Step 6: Final answer
    x = 429,870.58

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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.