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Finding the Third Proportional to 123,435 and 184,343.63

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Solution

The third proportional to 123,435 and 184,343.63 is: 275,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,435 : 184,343.63 = 184,343.63 : x
  2. Step 2: Convert to fraction form
    123,435/184,343.63 = 184,343.63/x
  3. Step 3: Cross multiply
    123,435x = 184,343.63 × 184,343.63
  4. Step 4: Simplify right side
    123,435x = 33,982,572,078.14
  5. Step 5: Solve for x
    x = 33,982,572,078.14/123,435
  6. Step 6: Final answer
    x = 275,307.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.