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Finding the Third Proportional to 151,906 and 327,158

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Solution

The third proportional to 151,906 and 327,158 is: 704,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,906 : 327,158 = 327,158 : x
  2. Step 2: Convert to fraction form
    151,906/327,158 = 327,158/x
  3. Step 3: Cross multiply
    151,906x = 327,158 × 327,158
  4. Step 4: Simplify right side
    151,906x = 107,032,356,964
  5. Step 5: Solve for x
    x = 107,032,356,964/151,906
  6. Step 6: Final answer
    x = 704,595.98

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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.