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Finding the Third Proportional to 186,156 and 295,920

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Solution

The third proportional to 186,156 and 295,920 is: 470,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,156 : 295,920 = 295,920 : x
  2. Step 2: Convert to fraction form
    186,156/295,920 = 295,920/x
  3. Step 3: Cross multiply
    186,156x = 295,920 × 295,920
  4. Step 4: Simplify right side
    186,156x = 87,568,646,400
  5. Step 5: Solve for x
    x = 87,568,646,400/186,156
  6. Step 6: Final answer
    x = 470,404.64

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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.