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Finding the Third Proportional to 156,799 and 370,077

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Solution

The third proportional to 156,799 and 370,077 is: 873,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,799 : 370,077 = 370,077 : x
  2. Step 2: Convert to fraction form
    156,799/370,077 = 370,077/x
  3. Step 3: Cross multiply
    156,799x = 370,077 × 370,077
  4. Step 4: Simplify right side
    156,799x = 136,956,985,929
  5. Step 5: Solve for x
    x = 136,956,985,929/156,799
  6. Step 6: Final answer
    x = 873,455.74

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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.