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Finding the Third Proportional to 141,898 and 305,942

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Solution

The third proportional to 141,898 and 305,942 is: 659,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,898 : 305,942 = 305,942 : x
  2. Step 2: Convert to fraction form
    141,898/305,942 = 305,942/x
  3. Step 3: Cross multiply
    141,898x = 305,942 × 305,942
  4. Step 4: Simplify right side
    141,898x = 93,600,507,364
  5. Step 5: Solve for x
    x = 93,600,507,364/141,898
  6. Step 6: Final answer
    x = 659,632.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.