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Finding the Third Proportional to 74,984 and 158,397

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Solution

The third proportional to 74,984 and 158,397 is: 334,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984 : 158,397 = 158,397 : x
  2. Step 2: Convert to fraction form
    74,984/158,397 = 158,397/x
  3. Step 3: Cross multiply
    74,984x = 158,397 × 158,397
  4. Step 4: Simplify right side
    74,984x = 25,089,609,609
  5. Step 5: Solve for x
    x = 25,089,609,609/74,984
  6. Step 6: Final answer
    x = 334,599.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.