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Finding the Third Proportional to 150,018 and 316,890

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Solution

The third proportional to 150,018 and 316,890 is: 669,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,018 : 316,890 = 316,890 : x
  2. Step 2: Convert to fraction form
    150,018/316,890 = 316,890/x
  3. Step 3: Cross multiply
    150,018x = 316,890 × 316,890
  4. Step 4: Simplify right side
    150,018x = 100,419,272,100
  5. Step 5: Solve for x
    x = 100,419,272,100/150,018
  6. Step 6: Final answer
    x = 669,381.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.