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Finding the Third Proportional to 141,831 and 302,724

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Solution

The third proportional to 141,831 and 302,724 is: 646,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,831 : 302,724 = 302,724 : x
  2. Step 2: Convert to fraction form
    141,831/302,724 = 302,724/x
  3. Step 3: Cross multiply
    141,831x = 302,724 × 302,724
  4. Step 4: Simplify right side
    141,831x = 91,641,820,176
  5. Step 5: Solve for x
    x = 91,641,820,176/141,831
  6. Step 6: Final answer
    x = 646,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.