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Finding the Third Proportional to 141,032 and 309,968

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Solution

The third proportional to 141,032 and 309,968 is: 681,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,032 : 309,968 = 309,968 : x
  2. Step 2: Convert to fraction form
    141,032/309,968 = 309,968/x
  3. Step 3: Cross multiply
    141,032x = 309,968 × 309,968
  4. Step 4: Simplify right side
    141,032x = 96,080,161,024
  5. Step 5: Solve for x
    x = 96,080,161,024/141,032
  6. Step 6: Final answer
    x = 681,264.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.