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Finding the Third Proportional to 238,103 and 359,588

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Solution

The third proportional to 238,103 and 359,588 is: 543,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,103 : 359,588 = 359,588 : x
  2. Step 2: Convert to fraction form
    238,103/359,588 = 359,588/x
  3. Step 3: Cross multiply
    238,103x = 359,588 × 359,588
  4. Step 4: Simplify right side
    238,103x = 129,303,529,744
  5. Step 5: Solve for x
    x = 129,303,529,744/238,103
  6. Step 6: Final answer
    x = 543,057.12

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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.