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Finding the Third Proportional to 229,828 and 343,360

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Solution

The third proportional to 229,828 and 343,360 is: 512,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,828 : 343,360 = 343,360 : x
  2. Step 2: Convert to fraction form
    229,828/343,360 = 343,360/x
  3. Step 3: Cross multiply
    229,828x = 343,360 × 343,360
  4. Step 4: Simplify right side
    229,828x = 117,896,089,600
  5. Step 5: Solve for x
    x = 117,896,089,600/229,828
  6. Step 6: Final answer
    x = 512,975.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.