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Finding the Third Proportional to 146,094 and 316,956

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Solution

The third proportional to 146,094 and 316,956 is: 687,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,094 : 316,956 = 316,956 : x
  2. Step 2: Convert to fraction form
    146,094/316,956 = 316,956/x
  3. Step 3: Cross multiply
    146,094x = 316,956 × 316,956
  4. Step 4: Simplify right side
    146,094x = 100,461,105,936
  5. Step 5: Solve for x
    x = 100,461,105,936/146,094
  6. Step 6: Final answer
    x = 687,647.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.