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Finding the Third Proportional to 183,369.38 and 280,502.44

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Solution

The third proportional to 183,369.38 and 280,502.44 is: 429,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,369.38 : 280,502.44 = 280,502.44 : x
  2. Step 2: Convert to fraction form
    183,369.38/280,502.44 = 280,502.44/x
  3. Step 3: Cross multiply
    183,369.38x = 280,502.44 × 280,502.44
  4. Step 4: Simplify right side
    183,369.38x = 78,681,617,443.44
  5. Step 5: Solve for x
    x = 78,681,617,443.44/183,369.38
  6. Step 6: Final answer
    x = 429,088.10

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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.