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Finding the Third Proportional to 218,064 and 309,240

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Solution

The third proportional to 218,064 and 309,240 is: 438,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,064 : 309,240 = 309,240 : x
  2. Step 2: Convert to fraction form
    218,064/309,240 = 309,240/x
  3. Step 3: Cross multiply
    218,064x = 309,240 × 309,240
  4. Step 4: Simplify right side
    218,064x = 95,629,377,600
  5. Step 5: Solve for x
    x = 95,629,377,600/218,064
  6. Step 6: Final answer
    x = 438,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.