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Finding the Third Proportional to 193,182 and 295,511

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Solution

The third proportional to 193,182 and 295,511 is: 452,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,182 : 295,511 = 295,511 : x
  2. Step 2: Convert to fraction form
    193,182/295,511 = 295,511/x
  3. Step 3: Cross multiply
    193,182x = 295,511 × 295,511
  4. Step 4: Simplify right side
    193,182x = 87,326,751,121
  5. Step 5: Solve for x
    x = 87,326,751,121/193,182
  6. Step 6: Final answer
    x = 452,043.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.