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Finding the Third Proportional to 178,884 and 242,911.50

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Solution

The third proportional to 178,884 and 242,911.50 is: 329,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,884 : 242,911.50 = 242,911.50 : x
  2. Step 2: Convert to fraction form
    178,884/242,911.50 = 242,911.50/x
  3. Step 3: Cross multiply
    178,884x = 242,911.50 × 242,911.50
  4. Step 4: Simplify right side
    178,884x = 59,005,996,832.25
  5. Step 5: Solve for x
    x = 59,005,996,832.25/178,884
  6. Step 6: Final answer
    x = 329,856.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.