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Finding the Third Proportional to 185,836 and 295,370

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Solution

The third proportional to 185,836 and 295,370 is: 469,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,836 : 295,370 = 295,370 : x
  2. Step 2: Convert to fraction form
    185,836/295,370 = 295,370/x
  3. Step 3: Cross multiply
    185,836x = 295,370 × 295,370
  4. Step 4: Simplify right side
    185,836x = 87,243,436,900
  5. Step 5: Solve for x
    x = 87,243,436,900/185,836
  6. Step 6: Final answer
    x = 469,464.67

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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.