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Finding the Third Proportional to 156,793 and 305,702

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Solution

The third proportional to 156,793 and 305,702 is: 596,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 305,702 = 305,702 : x
  2. Step 2: Convert to fraction form
    156,793/305,702 = 305,702/x
  3. Step 3: Cross multiply
    156,793x = 305,702 × 305,702
  4. Step 4: Simplify right side
    156,793x = 93,453,712,804
  5. Step 5: Solve for x
    x = 93,453,712,804/156,793
  6. Step 6: Final answer
    x = 596,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.