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Finding the Third Proportional to 152,901 and 236,169

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Solution

The third proportional to 152,901 and 236,169 is: 364,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,901 : 236,169 = 236,169 : x
  2. Step 2: Convert to fraction form
    152,901/236,169 = 236,169/x
  3. Step 3: Cross multiply
    152,901x = 236,169 × 236,169
  4. Step 4: Simplify right side
    152,901x = 55,775,796,561
  5. Step 5: Solve for x
    x = 55,775,796,561/152,901
  6. Step 6: Final answer
    x = 364,783.73

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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.