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Finding the Third Proportional to 238,146 and 328,058

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Solution

The third proportional to 238,146 and 328,058 is: 451,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,146 : 328,058 = 328,058 : x
  2. Step 2: Convert to fraction form
    238,146/328,058 = 328,058/x
  3. Step 3: Cross multiply
    238,146x = 328,058 × 328,058
  4. Step 4: Simplify right side
    238,146x = 107,622,051,364
  5. Step 5: Solve for x
    x = 107,622,051,364/238,146
  6. Step 6: Final answer
    x = 451,916.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.