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Finding the Third Proportional to 130,954 and 281,024

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Solution

The third proportional to 130,954 and 281,024 is: 603,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,954 : 281,024 = 281,024 : x
  2. Step 2: Convert to fraction form
    130,954/281,024 = 281,024/x
  3. Step 3: Cross multiply
    130,954x = 281,024 × 281,024
  4. Step 4: Simplify right side
    130,954x = 78,974,488,576
  5. Step 5: Solve for x
    x = 78,974,488,576/130,954
  6. Step 6: Final answer
    x = 603,070.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.