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Finding the Third Proportional to 159,621 and 238,047

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Solution

The third proportional to 159,621 and 238,047 is: 355,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,621 : 238,047 = 238,047 : x
  2. Step 2: Convert to fraction form
    159,621/238,047 = 238,047/x
  3. Step 3: Cross multiply
    159,621x = 238,047 × 238,047
  4. Step 4: Simplify right side
    159,621x = 56,666,374,209
  5. Step 5: Solve for x
    x = 56,666,374,209/159,621
  6. Step 6: Final answer
    x = 355,005.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.