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Finding the Third Proportional to 141,627 and 308,230

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Solution

The third proportional to 141,627 and 308,230 is: 670,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,627 : 308,230 = 308,230 : x
  2. Step 2: Convert to fraction form
    141,627/308,230 = 308,230/x
  3. Step 3: Cross multiply
    141,627x = 308,230 × 308,230
  4. Step 4: Simplify right side
    141,627x = 95,005,732,900
  5. Step 5: Solve for x
    x = 95,005,732,900/141,627
  6. Step 6: Final answer
    x = 670,816.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.