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Finding the Third Proportional to 238,371 and 353,433

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Solution

The third proportional to 238,371 and 353,433 is: 524,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,371 : 353,433 = 353,433 : x
  2. Step 2: Convert to fraction form
    238,371/353,433 = 353,433/x
  3. Step 3: Cross multiply
    238,371x = 353,433 × 353,433
  4. Step 4: Simplify right side
    238,371x = 124,914,885,489
  5. Step 5: Solve for x
    x = 124,914,885,489/238,371
  6. Step 6: Final answer
    x = 524,035.58

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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.