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Finding the Third Proportional to 156,004 and 222,931

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Solution

The third proportional to 156,004 and 222,931 is: 318,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,004 : 222,931 = 222,931 : x
  2. Step 2: Convert to fraction form
    156,004/222,931 = 222,931/x
  3. Step 3: Cross multiply
    156,004x = 222,931 × 222,931
  4. Step 4: Simplify right side
    156,004x = 49,698,230,761
  5. Step 5: Solve for x
    x = 49,698,230,761/156,004
  6. Step 6: Final answer
    x = 318,570.23

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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.