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Finding the Third Proportional to 185,905 and 295,462

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Solution

The third proportional to 185,905 and 295,462 is: 469,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,905 : 295,462 = 295,462 : x
  2. Step 2: Convert to fraction form
    185,905/295,462 = 295,462/x
  3. Step 3: Cross multiply
    185,905x = 295,462 × 295,462
  4. Step 4: Simplify right side
    185,905x = 87,297,793,444
  5. Step 5: Solve for x
    x = 87,297,793,444/185,905
  6. Step 6: Final answer
    x = 469,582.82

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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.