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Finding the Third Proportional to 141,586 and 304,158

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Solution

The third proportional to 141,586 and 304,158 is: 653,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,586 : 304,158 = 304,158 : x
  2. Step 2: Convert to fraction form
    141,586/304,158 = 304,158/x
  3. Step 3: Cross multiply
    141,586x = 304,158 × 304,158
  4. Step 4: Simplify right side
    141,586x = 92,512,088,964
  5. Step 5: Solve for x
    x = 92,512,088,964/141,586
  6. Step 6: Final answer
    x = 653,398.56

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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.