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Finding the Third Proportional to 156,782 and 370,035

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Solution

The third proportional to 156,782 and 370,035 is: 873,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 370,035 = 370,035 : x
  2. Step 2: Convert to fraction form
    156,782/370,035 = 370,035/x
  3. Step 3: Cross multiply
    156,782x = 370,035 × 370,035
  4. Step 4: Simplify right side
    156,782x = 136,925,901,225
  5. Step 5: Solve for x
    x = 136,925,901,225/156,782
  6. Step 6: Final answer
    x = 873,352.18

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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.