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Finding the Third Proportional to 159,814.69 and 344,536.88

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Solution

The third proportional to 159,814.69 and 344,536.88 is: 742,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.69 : 344,536.88 = 344,536.88 : x
  2. Step 2: Convert to fraction form
    159,814.69/344,536.88 = 344,536.88/x
  3. Step 3: Cross multiply
    159,814.69x = 344,536.88 × 344,536.88
  4. Step 4: Simplify right side
    159,814.69x = 118,705,658,234.77
  5. Step 5: Solve for x
    x = 118,705,658,234.77/159,814.69
  6. Step 6: Final answer
    x = 742,770.64

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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.