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Finding the Third Proportional to 147,181.50 and 317,911.50

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Solution

The third proportional to 147,181.50 and 317,911.50 is: 686,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,181.50 : 317,911.50 = 317,911.50 : x
  2. Step 2: Convert to fraction form
    147,181.50/317,911.50 = 317,911.50/x
  3. Step 3: Cross multiply
    147,181.50x = 317,911.50 × 317,911.50
  4. Step 4: Simplify right side
    147,181.50x = 101,067,721,832.25
  5. Step 5: Solve for x
    x = 101,067,721,832.25/147,181.50
  6. Step 6: Final answer
    x = 686,687.67

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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.