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Finding the Third Proportional to 183,504 and 389,058

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Solution

The third proportional to 183,504 and 389,058 is: 824,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,504 : 389,058 = 389,058 : x
  2. Step 2: Convert to fraction form
    183,504/389,058 = 389,058/x
  3. Step 3: Cross multiply
    183,504x = 389,058 × 389,058
  4. Step 4: Simplify right side
    183,504x = 151,366,127,364
  5. Step 5: Solve for x
    x = 151,366,127,364/183,504
  6. Step 6: Final answer
    x = 824,865.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.