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Finding the Third Proportional to 133,303 and 281,590

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Solution

The third proportional to 133,303 and 281,590 is: 594,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,303 : 281,590 = 281,590 : x
  2. Step 2: Convert to fraction form
    133,303/281,590 = 281,590/x
  3. Step 3: Cross multiply
    133,303x = 281,590 × 281,590
  4. Step 4: Simplify right side
    133,303x = 79,292,928,100
  5. Step 5: Solve for x
    x = 79,292,928,100/133,303
  6. Step 6: Final answer
    x = 594,832.29

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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.