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Finding the Third Proportional to 141,654 and 305,166

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Solution

The third proportional to 141,654 and 305,166 is: 657,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,654 : 305,166 = 305,166 : x
  2. Step 2: Convert to fraction form
    141,654/305,166 = 305,166/x
  3. Step 3: Cross multiply
    141,654x = 305,166 × 305,166
  4. Step 4: Simplify right side
    141,654x = 93,126,287,556
  5. Step 5: Solve for x
    x = 93,126,287,556/141,654
  6. Step 6: Final answer
    x = 657,420.81

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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.