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Finding the Third Proportional to 123,437 and 184,347

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Solution

The third proportional to 123,437 and 184,347 is: 275,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,437 : 184,347 = 184,347 : x
  2. Step 2: Convert to fraction form
    123,437/184,347 = 184,347/x
  3. Step 3: Cross multiply
    123,437x = 184,347 × 184,347
  4. Step 4: Simplify right side
    123,437x = 33,983,816,409
  5. Step 5: Solve for x
    x = 33,983,816,409/123,437
  6. Step 6: Final answer
    x = 275,313.05

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Why These Related Problems?

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