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Finding the Third Proportional to 157,619 and 342,030

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Solution

The third proportional to 157,619 and 342,030 is: 742,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,619 : 342,030 = 342,030 : x
  2. Step 2: Convert to fraction form
    157,619/342,030 = 342,030/x
  3. Step 3: Cross multiply
    157,619x = 342,030 × 342,030
  4. Step 4: Simplify right side
    157,619x = 116,984,520,900
  5. Step 5: Solve for x
    x = 116,984,520,900/157,619
  6. Step 6: Final answer
    x = 742,198.09

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