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Finding the Third Proportional to 157,600 and 345,818

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Solution

The third proportional to 157,600 and 345,818 is: 758,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600 : 345,818 = 345,818 : x
  2. Step 2: Convert to fraction form
    157,600/345,818 = 345,818/x
  3. Step 3: Cross multiply
    157,600x = 345,818 × 345,818
  4. Step 4: Simplify right side
    157,600x = 119,590,089,124
  5. Step 5: Solve for x
    x = 119,590,089,124/157,600
  6. Step 6: Final answer
    x = 758,820.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.