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Finding the Third Proportional to 133,310 and 281,608

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Solution

The third proportional to 133,310 and 281,608 is: 594,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,310 : 281,608 = 281,608 : x
  2. Step 2: Convert to fraction form
    133,310/281,608 = 281,608/x
  3. Step 3: Cross multiply
    133,310x = 281,608 × 281,608
  4. Step 4: Simplify right side
    133,310x = 79,303,065,664
  5. Step 5: Solve for x
    x = 79,303,065,664/133,310
  6. Step 6: Final answer
    x = 594,877.10

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Why These Related Problems?

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