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Finding the Third Proportional to 238,098 and 360,219

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Solution

The third proportional to 238,098 and 360,219 is: 544,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,098 : 360,219 = 360,219 : x
  2. Step 2: Convert to fraction form
    238,098/360,219 = 360,219/x
  3. Step 3: Cross multiply
    238,098x = 360,219 × 360,219
  4. Step 4: Simplify right side
    238,098x = 129,757,727,961
  5. Step 5: Solve for x
    x = 129,757,727,961/238,098
  6. Step 6: Final answer
    x = 544,976.14

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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.