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Finding the Third Proportional to 141,268 and 299,384

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Solution

The third proportional to 141,268 and 299,384 is: 634,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,268 : 299,384 = 299,384 : x
  2. Step 2: Convert to fraction form
    141,268/299,384 = 299,384/x
  3. Step 3: Cross multiply
    141,268x = 299,384 × 299,384
  4. Step 4: Simplify right side
    141,268x = 89,630,779,456
  5. Step 5: Solve for x
    x = 89,630,779,456/141,268
  6. Step 6: Final answer
    x = 634,473.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.