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Finding the Third Proportional to 173,889 and 380,988

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Solution

The third proportional to 173,889 and 380,988 is: 834,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,889 : 380,988 = 380,988 : x
  2. Step 2: Convert to fraction form
    173,889/380,988 = 380,988/x
  3. Step 3: Cross multiply
    173,889x = 380,988 × 380,988
  4. Step 4: Simplify right side
    173,889x = 145,151,856,144
  5. Step 5: Solve for x
    x = 145,151,856,144/173,889
  6. Step 6: Final answer
    x = 834,738.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.