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Finding the Third Proportional to 150,281 and 232,385

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Solution

The third proportional to 150,281 and 232,385 is: 359,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281 : 232,385 = 232,385 : x
  2. Step 2: Convert to fraction form
    150,281/232,385 = 232,385/x
  3. Step 3: Cross multiply
    150,281x = 232,385 × 232,385
  4. Step 4: Simplify right side
    150,281x = 54,002,788,225
  5. Step 5: Solve for x
    x = 54,002,788,225/150,281
  6. Step 6: Final answer
    x = 359,345.41

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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.