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Finding the Third Proportional to 186,298 and 295,201

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Solution

The third proportional to 186,298 and 295,201 is: 467,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,298 : 295,201 = 295,201 : x
  2. Step 2: Convert to fraction form
    186,298/295,201 = 295,201/x
  3. Step 3: Cross multiply
    186,298x = 295,201 × 295,201
  4. Step 4: Simplify right side
    186,298x = 87,143,630,401
  5. Step 5: Solve for x
    x = 87,143,630,401/186,298
  6. Step 6: Final answer
    x = 467,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.