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Finding the Third Proportional to 130,416.75 and 274,842.75

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Solution

The third proportional to 130,416.75 and 274,842.75 is: 579,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,416.75 : 274,842.75 = 274,842.75 : x
  2. Step 2: Convert to fraction form
    130,416.75/274,842.75 = 274,842.75/x
  3. Step 3: Cross multiply
    130,416.75x = 274,842.75 × 274,842.75
  4. Step 4: Simplify right side
    130,416.75x = 75,538,537,227.56
  5. Step 5: Solve for x
    x = 75,538,537,227.56/130,416.75
  6. Step 6: Final answer
    x = 579,208.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.