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Finding the Third Proportional to 141,659 and 305,176

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Solution

The third proportional to 141,659 and 305,176 is: 657,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,659 : 305,176 = 305,176 : x
  2. Step 2: Convert to fraction form
    141,659/305,176 = 305,176/x
  3. Step 3: Cross multiply
    141,659x = 305,176 × 305,176
  4. Step 4: Simplify right side
    141,659x = 93,132,390,976
  5. Step 5: Solve for x
    x = 93,132,390,976/141,659
  6. Step 6: Final answer
    x = 657,440.69

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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.