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Finding the Third Proportional to 240,235 and 368,497

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Solution

The third proportional to 240,235 and 368,497 is: 565,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,235 : 368,497 = 368,497 : x
  2. Step 2: Convert to fraction form
    240,235/368,497 = 368,497/x
  3. Step 3: Cross multiply
    240,235x = 368,497 × 368,497
  4. Step 4: Simplify right side
    240,235x = 135,790,039,009
  5. Step 5: Solve for x
    x = 135,790,039,009/240,235
  6. Step 6: Final answer
    x = 565,238.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.