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Finding the Third Proportional to 156,846 and 370,203

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Solution

The third proportional to 156,846 and 370,203 is: 873,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,846 : 370,203 = 370,203 : x
  2. Step 2: Convert to fraction form
    156,846/370,203 = 370,203/x
  3. Step 3: Cross multiply
    156,846x = 370,203 × 370,203
  4. Step 4: Simplify right side
    156,846x = 137,050,261,209
  5. Step 5: Solve for x
    x = 137,050,261,209/156,846
  6. Step 6: Final answer
    x = 873,788.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.