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Finding the Third Proportional to 114,861 and 243,360

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Solution

The third proportional to 114,861 and 243,360 is: 515,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,861 : 243,360 = 243,360 : x
  2. Step 2: Convert to fraction form
    114,861/243,360 = 243,360/x
  3. Step 3: Cross multiply
    114,861x = 243,360 × 243,360
  4. Step 4: Simplify right side
    114,861x = 59,224,089,600
  5. Step 5: Solve for x
    x = 59,224,089,600/114,861
  6. Step 6: Final answer
    x = 515,615.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.