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Finding the Third Proportional to 185,262 and 295,026

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Solution

The third proportional to 185,262 and 295,026 is: 469,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,262 : 295,026 = 295,026 : x
  2. Step 2: Convert to fraction form
    185,262/295,026 = 295,026/x
  3. Step 3: Cross multiply
    185,262x = 295,026 × 295,026
  4. Step 4: Simplify right side
    185,262x = 87,040,340,676
  5. Step 5: Solve for x
    x = 87,040,340,676/185,262
  6. Step 6: Final answer
    x = 469,822.96

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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.