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Finding the Third Proportional to 185,511.52 and 284,266.34

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Solution

The third proportional to 185,511.52 and 284,266.34 is: 435,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,511.52 : 284,266.34 = 284,266.34 : x
  2. Step 2: Convert to fraction form
    185,511.52/284,266.34 = 284,266.34/x
  3. Step 3: Cross multiply
    185,511.52x = 284,266.34 × 284,266.34
  4. Step 4: Simplify right side
    185,511.52x = 80,807,349,747.33
  5. Step 5: Solve for x
    x = 80,807,349,747.33/185,511.52
  6. Step 6: Final answer
    x = 435,592.10

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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.