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Finding the Third Proportional to 188,404 and 284,526

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Solution

The third proportional to 188,404 and 284,526 is: 429,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,404 : 284,526 = 284,526 : x
  2. Step 2: Convert to fraction form
    188,404/284,526 = 284,526/x
  3. Step 3: Cross multiply
    188,404x = 284,526 × 284,526
  4. Step 4: Simplify right side
    188,404x = 80,955,044,676
  5. Step 5: Solve for x
    x = 80,955,044,676/188,404
  6. Step 6: Final answer
    x = 429,688.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.