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Finding the Third Proportional to 123,235.50 and 190,287

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Solution

The third proportional to 123,235.50 and 190,287 is: 293,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235.50 : 190,287 = 190,287 : x
  2. Step 2: Convert to fraction form
    123,235.50/190,287 = 190,287/x
  3. Step 3: Cross multiply
    123,235.50x = 190,287 × 190,287
  4. Step 4: Simplify right side
    123,235.50x = 36,209,142,369
  5. Step 5: Solve for x
    x = 36,209,142,369/123,235.50
  6. Step 6: Final answer
    x = 293,820.71

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