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Finding the Third Proportional to 67,340 and 146,470

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Solution

The third proportional to 67,340 and 146,470 is: 318,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,340 : 146,470 = 146,470 : x
  2. Step 2: Convert to fraction form
    67,340/146,470 = 146,470/x
  3. Step 3: Cross multiply
    67,340x = 146,470 × 146,470
  4. Step 4: Simplify right side
    67,340x = 21,453,460,900
  5. Step 5: Solve for x
    x = 21,453,460,900/67,340
  6. Step 6: Final answer
    x = 318,584.21

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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.