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Finding the Third Proportional to 156,878 and 236,795

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Solution

The third proportional to 156,878 and 236,795 is: 357,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878 : 236,795 = 236,795 : x
  2. Step 2: Convert to fraction form
    156,878/236,795 = 236,795/x
  3. Step 3: Cross multiply
    156,878x = 236,795 × 236,795
  4. Step 4: Simplify right side
    156,878x = 56,071,872,025
  5. Step 5: Solve for x
    x = 56,071,872,025/156,878
  6. Step 6: Final answer
    x = 357,423.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.