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Finding the Third Proportional to 150,031 and 232,235

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Solution

The third proportional to 150,031 and 232,235 is: 359,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,031 : 232,235 = 232,235 : x
  2. Step 2: Convert to fraction form
    150,031/232,235 = 232,235/x
  3. Step 3: Cross multiply
    150,031x = 232,235 × 232,235
  4. Step 4: Simplify right side
    150,031x = 53,933,095,225
  5. Step 5: Solve for x
    x = 53,933,095,225/150,031
  6. Step 6: Final answer
    x = 359,479.68

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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.