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Finding the Third Proportional to 178,431 and 276,610.50

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Solution

The third proportional to 178,431 and 276,610.50 is: 428,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,431 : 276,610.50 = 276,610.50 : x
  2. Step 2: Convert to fraction form
    178,431/276,610.50 = 276,610.50/x
  3. Step 3: Cross multiply
    178,431x = 276,610.50 × 276,610.50
  4. Step 4: Simplify right side
    178,431x = 76,513,368,710.25
  5. Step 5: Solve for x
    x = 76,513,368,710.25/178,431
  6. Step 6: Final answer
    x = 428,812.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.