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Finding the Third Proportional to 185,764 and 295,220

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Solution

The third proportional to 185,764 and 295,220 is: 469,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,764 : 295,220 = 295,220 : x
  2. Step 2: Convert to fraction form
    185,764/295,220 = 295,220/x
  3. Step 3: Cross multiply
    185,764x = 295,220 × 295,220
  4. Step 4: Simplify right side
    185,764x = 87,154,848,400
  5. Step 5: Solve for x
    x = 87,154,848,400/185,764
  6. Step 6: Final answer
    x = 469,169.74

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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.