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Finding the Third Proportional to 141,296 and 308,840

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Solution

The third proportional to 141,296 and 308,840 is: 675,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,296 : 308,840 = 308,840 : x
  2. Step 2: Convert to fraction form
    141,296/308,840 = 308,840/x
  3. Step 3: Cross multiply
    141,296x = 308,840 × 308,840
  4. Step 4: Simplify right side
    141,296x = 95,382,145,600
  5. Step 5: Solve for x
    x = 95,382,145,600/141,296
  6. Step 6: Final answer
    x = 675,051.99

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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.