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Finding the Third Proportional to 119,141 and 256,588

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Solution

The third proportional to 119,141 and 256,588 is: 552,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,141 : 256,588 = 256,588 : x
  2. Step 2: Convert to fraction form
    119,141/256,588 = 256,588/x
  3. Step 3: Cross multiply
    119,141x = 256,588 × 256,588
  4. Step 4: Simplify right side
    119,141x = 65,837,401,744
  5. Step 5: Solve for x
    x = 65,837,401,744/119,141
  6. Step 6: Final answer
    x = 552,600.71

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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.