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Finding the Third Proportional to 141,513 and 309,270

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Solution

The third proportional to 141,513 and 309,270 is: 675,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,513 : 309,270 = 309,270 : x
  2. Step 2: Convert to fraction form
    141,513/309,270 = 309,270/x
  3. Step 3: Cross multiply
    141,513x = 309,270 × 309,270
  4. Step 4: Simplify right side
    141,513x = 95,647,932,900
  5. Step 5: Solve for x
    x = 95,647,932,900/141,513
  6. Step 6: Final answer
    x = 675,895.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.