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Finding the Third Proportional to 156,006 and 223,099.31

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Solution

The third proportional to 156,006 and 223,099.31 is: 319,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 223,099.31 = 223,099.31 : x
  2. Step 2: Convert to fraction form
    156,006/223,099.31 = 223,099.31/x
  3. Step 3: Cross multiply
    156,006x = 223,099.31 × 223,099.31
  4. Step 4: Simplify right side
    156,006x = 49,773,303,237.97
  5. Step 5: Solve for x
    x = 49,773,303,237.97/156,006
  6. Step 6: Final answer
    x = 319,047.37

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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.