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Finding the Third Proportional to 72,433 and 156,923

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Solution

The third proportional to 72,433 and 156,923 is: 339,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,433 : 156,923 = 156,923 : x
  2. Step 2: Convert to fraction form
    72,433/156,923 = 156,923/x
  3. Step 3: Cross multiply
    72,433x = 156,923 × 156,923
  4. Step 4: Simplify right side
    72,433x = 24,624,827,929
  5. Step 5: Solve for x
    x = 24,624,827,929/72,433
  6. Step 6: Final answer
    x = 339,966.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.