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Finding the Third Proportional to 157,296 and 342,236

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Solution

The third proportional to 157,296 and 342,236 is: 744,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,296 : 342,236 = 342,236 : x
  2. Step 2: Convert to fraction form
    157,296/342,236 = 342,236/x
  3. Step 3: Cross multiply
    157,296x = 342,236 × 342,236
  4. Step 4: Simplify right side
    157,296x = 117,125,479,696
  5. Step 5: Solve for x
    x = 117,125,479,696/157,296
  6. Step 6: Final answer
    x = 744,618.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.