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Finding the Third Proportional to 141,653 and 309,442

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Solution

The third proportional to 141,653 and 309,442 is: 675,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,653 : 309,442 = 309,442 : x
  2. Step 2: Convert to fraction form
    141,653/309,442 = 309,442/x
  3. Step 3: Cross multiply
    141,653x = 309,442 × 309,442
  4. Step 4: Simplify right side
    141,653x = 95,754,351,364
  5. Step 5: Solve for x
    x = 95,754,351,364/141,653
  6. Step 6: Final answer
    x = 675,978.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.