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Finding the Third Proportional to 238,376 and 353,444

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Solution

The third proportional to 238,376 and 353,444 is: 524,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,376 : 353,444 = 353,444 : x
  2. Step 2: Convert to fraction form
    238,376/353,444 = 353,444/x
  3. Step 3: Cross multiply
    238,376x = 353,444 × 353,444
  4. Step 4: Simplify right side
    238,376x = 124,922,661,136
  5. Step 5: Solve for x
    x = 124,922,661,136/238,376
  6. Step 6: Final answer
    x = 524,057.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.