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Finding the Third Proportional to 157,640 and 345,912

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Solution

The third proportional to 157,640 and 345,912 is: 759,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,640 : 345,912 = 345,912 : x
  2. Step 2: Convert to fraction form
    157,640/345,912 = 345,912/x
  3. Step 3: Cross multiply
    157,640x = 345,912 × 345,912
  4. Step 4: Simplify right side
    157,640x = 119,655,111,744
  5. Step 5: Solve for x
    x = 119,655,111,744/157,640
  6. Step 6: Final answer
    x = 759,040.29

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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.