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Finding the Third Proportional to 117,984 and 258,114

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Solution

The third proportional to 117,984 and 258,114 is: 564,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,984 : 258,114 = 258,114 : x
  2. Step 2: Convert to fraction form
    117,984/258,114 = 258,114/x
  3. Step 3: Cross multiply
    117,984x = 258,114 × 258,114
  4. Step 4: Simplify right side
    117,984x = 66,622,836,996
  5. Step 5: Solve for x
    x = 66,622,836,996/117,984
  6. Step 6: Final answer
    x = 564,676.88

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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.