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Finding the Third Proportional to 185,823 and 295,308

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Solution

The third proportional to 185,823 and 295,308 is: 469,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,823 : 295,308 = 295,308 : x
  2. Step 2: Convert to fraction form
    185,823/295,308 = 295,308/x
  3. Step 3: Cross multiply
    185,823x = 295,308 × 295,308
  4. Step 4: Simplify right side
    185,823x = 87,206,814,864
  5. Step 5: Solve for x
    x = 87,206,814,864/185,823
  6. Step 6: Final answer
    x = 469,300.44

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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.