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Finding the Third Proportional to 158,982 and 349,308

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Solution

The third proportional to 158,982 and 349,308 is: 767,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982 : 349,308 = 349,308 : x
  2. Step 2: Convert to fraction form
    158,982/349,308 = 349,308/x
  3. Step 3: Cross multiply
    158,982x = 349,308 × 349,308
  4. Step 4: Simplify right side
    158,982x = 122,016,078,864
  5. Step 5: Solve for x
    x = 122,016,078,864/158,982
  6. Step 6: Final answer
    x = 767,483.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.