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Finding the Third Proportional to 193,050 and 296,883

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Solution

The third proportional to 193,050 and 296,883 is: 456,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,050 : 296,883 = 296,883 : x
  2. Step 2: Convert to fraction form
    193,050/296,883 = 296,883/x
  3. Step 3: Cross multiply
    193,050x = 296,883 × 296,883
  4. Step 4: Simplify right side
    193,050x = 88,139,515,689
  5. Step 5: Solve for x
    x = 88,139,515,689/193,050
  6. Step 6: Final answer
    x = 456,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.