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Finding the Third Proportional to 141,664 and 305,186

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Solution

The third proportional to 141,664 and 305,186 is: 657,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,664 : 305,186 = 305,186 : x
  2. Step 2: Convert to fraction form
    141,664/305,186 = 305,186/x
  3. Step 3: Cross multiply
    141,664x = 305,186 × 305,186
  4. Step 4: Simplify right side
    141,664x = 93,138,494,596
  5. Step 5: Solve for x
    x = 93,138,494,596/141,664
  6. Step 6: Final answer
    x = 657,460.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.