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Finding the Third Proportional to 158,848 and 309,715

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Solution

The third proportional to 158,848 and 309,715 is: 603,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,848 : 309,715 = 309,715 : x
  2. Step 2: Convert to fraction form
    158,848/309,715 = 309,715/x
  3. Step 3: Cross multiply
    158,848x = 309,715 × 309,715
  4. Step 4: Simplify right side
    158,848x = 95,923,381,225
  5. Step 5: Solve for x
    x = 95,923,381,225/158,848
  6. Step 6: Final answer
    x = 603,868.99

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.