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Finding the Third Proportional to 156,790 and 236,644

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Solution

The third proportional to 156,790 and 236,644 is: 357,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,790 : 236,644 = 236,644 : x
  2. Step 2: Convert to fraction form
    156,790/236,644 = 236,644/x
  3. Step 3: Cross multiply
    156,790x = 236,644 × 236,644
  4. Step 4: Simplify right side
    156,790x = 56,000,382,736
  5. Step 5: Solve for x
    x = 56,000,382,736/156,790
  6. Step 6: Final answer
    x = 357,168.08

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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.