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Finding the Third Proportional to 156,584 and 223,846

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Solution

The third proportional to 156,584 and 223,846 is: 320,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,584 : 223,846 = 223,846 : x
  2. Step 2: Convert to fraction form
    156,584/223,846 = 223,846/x
  3. Step 3: Cross multiply
    156,584x = 223,846 × 223,846
  4. Step 4: Simplify right side
    156,584x = 50,107,031,716
  5. Step 5: Solve for x
    x = 50,107,031,716/156,584
  6. Step 6: Final answer
    x = 320,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.