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Finding the Third Proportional to 141,833 and 302,728

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Solution

The third proportional to 141,833 and 302,728 is: 646,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,833 : 302,728 = 302,728 : x
  2. Step 2: Convert to fraction form
    141,833/302,728 = 302,728/x
  3. Step 3: Cross multiply
    141,833x = 302,728 × 302,728
  4. Step 4: Simplify right side
    141,833x = 91,644,241,984
  5. Step 5: Solve for x
    x = 91,644,241,984/141,833
  6. Step 6: Final answer
    x = 646,141.89

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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.