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Finding the Third Proportional to 157,638 and 342,068

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Solution

The third proportional to 157,638 and 342,068 is: 742,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,638 : 342,068 = 342,068 : x
  2. Step 2: Convert to fraction form
    157,638/342,068 = 342,068/x
  3. Step 3: Cross multiply
    157,638x = 342,068 × 342,068
  4. Step 4: Simplify right side
    157,638x = 117,010,516,624
  5. Step 5: Solve for x
    x = 117,010,516,624/157,638
  6. Step 6: Final answer
    x = 742,273.54

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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.