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Finding the Third Proportional to 190,772 and 295,258

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Solution

The third proportional to 190,772 and 295,258 is: 456,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,772 : 295,258 = 295,258 : x
  2. Step 2: Convert to fraction form
    190,772/295,258 = 295,258/x
  3. Step 3: Cross multiply
    190,772x = 295,258 × 295,258
  4. Step 4: Simplify right side
    190,772x = 87,177,286,564
  5. Step 5: Solve for x
    x = 87,177,286,564/190,772
  6. Step 6: Final answer
    x = 456,971.08

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Why These Related Problems?

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