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Finding the Third Proportional to 141,641 and 302,233

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Solution

The third proportional to 141,641 and 302,233 is: 644,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,641 : 302,233 = 302,233 : x
  2. Step 2: Convert to fraction form
    141,641/302,233 = 302,233/x
  3. Step 3: Cross multiply
    141,641x = 302,233 × 302,233
  4. Step 4: Simplify right side
    141,641x = 91,344,786,289
  5. Step 5: Solve for x
    x = 91,344,786,289/141,641
  6. Step 6: Final answer
    x = 644,903.57

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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.