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Finding the Third Proportional to 158,983 and 340,998

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Solution

The third proportional to 158,983 and 340,998 is: 731,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,983 : 340,998 = 340,998 : x
  2. Step 2: Convert to fraction form
    158,983/340,998 = 340,998/x
  3. Step 3: Cross multiply
    158,983x = 340,998 × 340,998
  4. Step 4: Simplify right side
    158,983x = 116,279,636,004
  5. Step 5: Solve for x
    x = 116,279,636,004/158,983
  6. Step 6: Final answer
    x = 731,396.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.