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Finding the Third Proportional to 159,948 and 345,511.50

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Solution

The third proportional to 159,948 and 345,511.50 is: 746,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,948 : 345,511.50 = 345,511.50 : x
  2. Step 2: Convert to fraction form
    159,948/345,511.50 = 345,511.50/x
  3. Step 3: Cross multiply
    159,948x = 345,511.50 × 345,511.50
  4. Step 4: Simplify right side
    159,948x = 119,378,196,632.25
  5. Step 5: Solve for x
    x = 119,378,196,632.25/159,948
  6. Step 6: Final answer
    x = 746,356.29

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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.