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Finding the Third Proportional to 159,402 and 238,796

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Solution

The third proportional to 159,402 and 238,796 is: 357,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,402 : 238,796 = 238,796 : x
  2. Step 2: Convert to fraction form
    159,402/238,796 = 238,796/x
  3. Step 3: Cross multiply
    159,402x = 238,796 × 238,796
  4. Step 4: Simplify right side
    159,402x = 57,023,529,616
  5. Step 5: Solve for x
    x = 57,023,529,616/159,402
  6. Step 6: Final answer
    x = 357,734.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.