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Finding the Third Proportional to 110,904 and 243,360

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Solution

The third proportional to 110,904 and 243,360 is: 534,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,904 : 243,360 = 243,360 : x
  2. Step 2: Convert to fraction form
    110,904/243,360 = 243,360/x
  3. Step 3: Cross multiply
    110,904x = 243,360 × 243,360
  4. Step 4: Simplify right side
    110,904x = 59,224,089,600
  5. Step 5: Solve for x
    x = 59,224,089,600/110,904
  6. Step 6: Final answer
    x = 534,012.21

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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.