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Finding the Third Proportional to 151,858 and 303,536

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Solution

The third proportional to 151,858 and 303,536 is: 606,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,858 : 303,536 = 303,536 : x
  2. Step 2: Convert to fraction form
    151,858/303,536 = 303,536/x
  3. Step 3: Cross multiply
    151,858x = 303,536 × 303,536
  4. Step 4: Simplify right side
    151,858x = 92,134,103,296
  5. Step 5: Solve for x
    x = 92,134,103,296/151,858
  6. Step 6: Final answer
    x = 606,712.21

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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.