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Finding the Third Proportional to 193,176 and 423,258

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Solution

The third proportional to 193,176 and 423,258 is: 927,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176 : 423,258 = 423,258 : x
  2. Step 2: Convert to fraction form
    193,176/423,258 = 423,258/x
  3. Step 3: Cross multiply
    193,176x = 423,258 × 423,258
  4. Step 4: Simplify right side
    193,176x = 179,147,334,564
  5. Step 5: Solve for x
    x = 179,147,334,564/193,176
  6. Step 6: Final answer
    x = 927,378.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.