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Finding the Third Proportional to 147,404 and 317,956

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Solution

The third proportional to 147,404 and 317,956 is: 685,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,404 : 317,956 = 317,956 : x
  2. Step 2: Convert to fraction form
    147,404/317,956 = 317,956/x
  3. Step 3: Cross multiply
    147,404x = 317,956 × 317,956
  4. Step 4: Simplify right side
    147,404x = 101,096,017,936
  5. Step 5: Solve for x
    x = 101,096,017,936/147,404
  6. Step 6: Final answer
    x = 685,843.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.