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Finding the Third Proportional to 155,967 and 236,151

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Solution

The third proportional to 155,967 and 236,151 is: 357,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967 : 236,151 = 236,151 : x
  2. Step 2: Convert to fraction form
    155,967/236,151 = 236,151/x
  3. Step 3: Cross multiply
    155,967x = 236,151 × 236,151
  4. Step 4: Simplify right side
    155,967x = 55,767,294,801
  5. Step 5: Solve for x
    x = 55,767,294,801/155,967
  6. Step 6: Final answer
    x = 357,558.30

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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.