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Finding the Third Proportional to 155,904 and 342,912

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Solution

The third proportional to 155,904 and 342,912 is: 754,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904 : 342,912 = 342,912 : x
  2. Step 2: Convert to fraction form
    155,904/342,912 = 342,912/x
  3. Step 3: Cross multiply
    155,904x = 342,912 × 342,912
  4. Step 4: Simplify right side
    155,904x = 117,588,639,744
  5. Step 5: Solve for x
    x = 117,588,639,744/155,904
  6. Step 6: Final answer
    x = 754,237.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.