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Finding the Third Proportional to 178,851 and 242,031

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Solution

The third proportional to 178,851 and 242,031 is: 327,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,851 : 242,031 = 242,031 : x
  2. Step 2: Convert to fraction form
    178,851/242,031 = 242,031/x
  3. Step 3: Cross multiply
    178,851x = 242,031 × 242,031
  4. Step 4: Simplify right side
    178,851x = 58,579,004,961
  5. Step 5: Solve for x
    x = 58,579,004,961/178,851
  6. Step 6: Final answer
    x = 327,529.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.