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Finding the Third Proportional to 141,383.50 and 304,903

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Solution

The third proportional to 141,383.50 and 304,903 is: 657,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,383.50 : 304,903 = 304,903 : x
  2. Step 2: Convert to fraction form
    141,383.50/304,903 = 304,903/x
  3. Step 3: Cross multiply
    141,383.50x = 304,903 × 304,903
  4. Step 4: Simplify right side
    141,383.50x = 92,965,839,409
  5. Step 5: Solve for x
    x = 92,965,839,409/141,383.50
  6. Step 6: Final answer
    x = 657,543.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.