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Finding the Third Proportional to 298,178 and 596,108

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Solution

The third proportional to 298,178 and 596,108 is: 1,191,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,178 : 596,108 = 596,108 : x
  2. Step 2: Convert to fraction form
    298,178/596,108 = 596,108/x
  3. Step 3: Cross multiply
    298,178x = 596,108 × 596,108
  4. Step 4: Simplify right side
    298,178x = 355,344,747,664
  5. Step 5: Solve for x
    x = 355,344,747,664/298,178
  6. Step 6: Final answer
    x = 1,191,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.