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Finding the Third Proportional to 152,856 and 236,100

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Solution

The third proportional to 152,856 and 236,100 is: 364,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,856 : 236,100 = 236,100 : x
  2. Step 2: Convert to fraction form
    152,856/236,100 = 236,100/x
  3. Step 3: Cross multiply
    152,856x = 236,100 × 236,100
  4. Step 4: Simplify right side
    152,856x = 55,743,210,000
  5. Step 5: Solve for x
    x = 55,743,210,000/152,856
  6. Step 6: Final answer
    x = 364,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.