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Finding the Third Proportional to 141,612 and 305,346

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Solution

The third proportional to 141,612 and 305,346 is: 658,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,612 : 305,346 = 305,346 : x
  2. Step 2: Convert to fraction form
    141,612/305,346 = 305,346/x
  3. Step 3: Cross multiply
    141,612x = 305,346 × 305,346
  4. Step 4: Simplify right side
    141,612x = 93,236,179,716
  5. Step 5: Solve for x
    x = 93,236,179,716/141,612
  6. Step 6: Final answer
    x = 658,391.80

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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.