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Finding the Third Proportional to 152,906 and 236,176

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Solution

The third proportional to 152,906 and 236,176 is: 364,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,906 : 236,176 = 236,176 : x
  2. Step 2: Convert to fraction form
    152,906/236,176 = 236,176/x
  3. Step 3: Cross multiply
    152,906x = 236,176 × 236,176
  4. Step 4: Simplify right side
    152,906x = 55,779,102,976
  5. Step 5: Solve for x
    x = 55,779,102,976/152,906
  6. Step 6: Final answer
    x = 364,793.42

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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.