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Finding the Third Proportional to 238,100 and 359,583

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Solution

The third proportional to 238,100 and 359,583 is: 543,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,100 : 359,583 = 359,583 : x
  2. Step 2: Convert to fraction form
    238,100/359,583 = 359,583/x
  3. Step 3: Cross multiply
    238,100x = 359,583 × 359,583
  4. Step 4: Simplify right side
    238,100x = 129,299,933,889
  5. Step 5: Solve for x
    x = 129,299,933,889/238,100
  6. Step 6: Final answer
    x = 543,048.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.