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Finding the Third Proportional to 178,056 and 420,318

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Solution

The third proportional to 178,056 and 420,318 is: 992,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,056 : 420,318 = 420,318 : x
  2. Step 2: Convert to fraction form
    178,056/420,318 = 420,318/x
  3. Step 3: Cross multiply
    178,056x = 420,318 × 420,318
  4. Step 4: Simplify right side
    178,056x = 176,667,221,124
  5. Step 5: Solve for x
    x = 176,667,221,124/178,056
  6. Step 6: Final answer
    x = 992,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.