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Finding the Third Proportional to 141,798 and 337,215

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Solution

The third proportional to 141,798 and 337,215 is: 801,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,798 : 337,215 = 337,215 : x
  2. Step 2: Convert to fraction form
    141,798/337,215 = 337,215/x
  3. Step 3: Cross multiply
    141,798x = 337,215 × 337,215
  4. Step 4: Simplify right side
    141,798x = 113,713,956,225
  5. Step 5: Solve for x
    x = 113,713,956,225/141,798
  6. Step 6: Final answer
    x = 801,943.30

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.