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Finding the Third Proportional to 240,236 and 368,498

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Solution

The third proportional to 240,236 and 368,498 is: 565,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,236 : 368,498 = 368,498 : x
  2. Step 2: Convert to fraction form
    240,236/368,498 = 368,498/x
  3. Step 3: Cross multiply
    240,236x = 368,498 × 368,498
  4. Step 4: Simplify right side
    240,236x = 135,790,776,004
  5. Step 5: Solve for x
    x = 135,790,776,004/240,236
  6. Step 6: Final answer
    x = 565,239.08

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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.