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Finding the Third Proportional to 186,158 and 295,923

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Solution

The third proportional to 186,158 and 295,923 is: 470,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,158 : 295,923 = 295,923 : x
  2. Step 2: Convert to fraction form
    186,158/295,923 = 295,923/x
  3. Step 3: Cross multiply
    186,158x = 295,923 × 295,923
  4. Step 4: Simplify right side
    186,158x = 87,570,421,929
  5. Step 5: Solve for x
    x = 87,570,421,929/186,158
  6. Step 6: Final answer
    x = 470,409.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.