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Finding the Third Proportional to 159,072.75 and 345,756.38

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Solution

The third proportional to 159,072.75 and 345,756.38 is: 751,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,072.75 : 345,756.38 = 345,756.38 : x
  2. Step 2: Convert to fraction form
    159,072.75/345,756.38 = 345,756.38/x
  3. Step 3: Cross multiply
    159,072.75x = 345,756.38 × 345,756.38
  4. Step 4: Simplify right side
    159,072.75x = 119,547,470,853.14
  5. Step 5: Solve for x
    x = 119,547,470,853.14/159,072.75
  6. Step 6: Final answer
    x = 751,527.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.