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Finding the Third Proportional to 141,579 and 304,146

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Solution

The third proportional to 141,579 and 304,146 is: 653,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,579 : 304,146 = 304,146 : x
  2. Step 2: Convert to fraction form
    141,579/304,146 = 304,146/x
  3. Step 3: Cross multiply
    141,579x = 304,146 × 304,146
  4. Step 4: Simplify right side
    141,579x = 92,504,789,316
  5. Step 5: Solve for x
    x = 92,504,789,316/141,579
  6. Step 6: Final answer
    x = 653,379.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.