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Finding the Third Proportional to 156,900 and 239,454

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Solution

The third proportional to 156,900 and 239,454 is: 365,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,900 : 239,454 = 239,454 : x
  2. Step 2: Convert to fraction form
    156,900/239,454 = 239,454/x
  3. Step 3: Cross multiply
    156,900x = 239,454 × 239,454
  4. Step 4: Simplify right side
    156,900x = 57,338,218,116
  5. Step 5: Solve for x
    x = 57,338,218,116/156,900
  6. Step 6: Final answer
    x = 365,444.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.