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Finding the Third Proportional to 156,783 and 234,807

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Solution

The third proportional to 156,783 and 234,807 is: 351,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783 : 234,807 = 234,807 : x
  2. Step 2: Convert to fraction form
    156,783/234,807 = 234,807/x
  3. Step 3: Cross multiply
    156,783x = 234,807 × 234,807
  4. Step 4: Simplify right side
    156,783x = 55,134,327,249
  5. Step 5: Solve for x
    x = 55,134,327,249/156,783
  6. Step 6: Final answer
    x = 351,660.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.