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Finding the Third Proportional to 156,778 and 370,025

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Solution

The third proportional to 156,778 and 370,025 is: 873,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 370,025 = 370,025 : x
  2. Step 2: Convert to fraction form
    156,778/370,025 = 370,025/x
  3. Step 3: Cross multiply
    156,778x = 370,025 × 370,025
  4. Step 4: Simplify right side
    156,778x = 136,918,500,625
  5. Step 5: Solve for x
    x = 136,918,500,625/156,778
  6. Step 6: Final answer
    x = 873,327.26

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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.