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Finding the Third Proportional to 238,420 and 360,060

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Solution

The third proportional to 238,420 and 360,060 is: 543,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420 : 360,060 = 360,060 : x
  2. Step 2: Convert to fraction form
    238,420/360,060 = 360,060/x
  3. Step 3: Cross multiply
    238,420x = 360,060 × 360,060
  4. Step 4: Simplify right side
    238,420x = 129,643,203,600
  5. Step 5: Solve for x
    x = 129,643,203,600/238,420
  6. Step 6: Final answer
    x = 543,759.77

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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.