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Finding the Third Proportional to 123,473 and 184,396

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Solution

The third proportional to 123,473 and 184,396 is: 275,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,473 : 184,396 = 184,396 : x
  2. Step 2: Convert to fraction form
    123,473/184,396 = 184,396/x
  3. Step 3: Cross multiply
    123,473x = 184,396 × 184,396
  4. Step 4: Simplify right side
    123,473x = 34,001,884,816
  5. Step 5: Solve for x
    x = 34,001,884,816/123,473
  6. Step 6: Final answer
    x = 275,379.11

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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.