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Finding the Third Proportional to 138,456 and 300,240

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Solution

The third proportional to 138,456 and 300,240 is: 651,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456 : 300,240 = 300,240 : x
  2. Step 2: Convert to fraction form
    138,456/300,240 = 300,240/x
  3. Step 3: Cross multiply
    138,456x = 300,240 × 300,240
  4. Step 4: Simplify right side
    138,456x = 90,144,057,600
  5. Step 5: Solve for x
    x = 90,144,057,600/138,456
  6. Step 6: Final answer
    x = 651,066.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.