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Finding the Third Proportional to 156,862 and 370,241

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Solution

The third proportional to 156,862 and 370,241 is: 873,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,862 : 370,241 = 370,241 : x
  2. Step 2: Convert to fraction form
    156,862/370,241 = 370,241/x
  3. Step 3: Cross multiply
    156,862x = 370,241 × 370,241
  4. Step 4: Simplify right side
    156,862x = 137,078,398,081
  5. Step 5: Solve for x
    x = 137,078,398,081/156,862
  6. Step 6: Final answer
    x = 873,878.94

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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.