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Finding the Third Proportional to 207,504 and 300,240

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Solution

The third proportional to 207,504 and 300,240 is: 434,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,504 : 300,240 = 300,240 : x
  2. Step 2: Convert to fraction form
    207,504/300,240 = 300,240/x
  3. Step 3: Cross multiply
    207,504x = 300,240 × 300,240
  4. Step 4: Simplify right side
    207,504x = 90,144,057,600
  5. Step 5: Solve for x
    x = 90,144,057,600/207,504
  6. Step 6: Final answer
    x = 434,420.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.