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Finding the Third Proportional to 152,179 and 236,558

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Solution

The third proportional to 152,179 and 236,558 is: 367,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,179 : 236,558 = 236,558 : x
  2. Step 2: Convert to fraction form
    152,179/236,558 = 236,558/x
  3. Step 3: Cross multiply
    152,179x = 236,558 × 236,558
  4. Step 4: Simplify right side
    152,179x = 55,959,687,364
  5. Step 5: Solve for x
    x = 55,959,687,364/152,179
  6. Step 6: Final answer
    x = 367,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.