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Finding the Third Proportional to 155,332 and 331,016

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Solution

The third proportional to 155,332 and 331,016 is: 705,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,332 : 331,016 = 331,016 : x
  2. Step 2: Convert to fraction form
    155,332/331,016 = 331,016/x
  3. Step 3: Cross multiply
    155,332x = 331,016 × 331,016
  4. Step 4: Simplify right side
    155,332x = 109,571,592,256
  5. Step 5: Solve for x
    x = 109,571,592,256/155,332
  6. Step 6: Final answer
    x = 705,402.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.