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Finding the Third Proportional to 141,658 and 305,174

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Solution

The third proportional to 141,658 and 305,174 is: 657,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,658 : 305,174 = 305,174 : x
  2. Step 2: Convert to fraction form
    141,658/305,174 = 305,174/x
  3. Step 3: Cross multiply
    141,658x = 305,174 × 305,174
  4. Step 4: Simplify right side
    141,658x = 93,131,170,276
  5. Step 5: Solve for x
    x = 93,131,170,276/141,658
  6. Step 6: Final answer
    x = 657,436.72

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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.