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Finding the Third Proportional to 184,413 and 275,438

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Solution

The third proportional to 184,413 and 275,438 is: 411,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413 : 275,438 = 275,438 : x
  2. Step 2: Convert to fraction form
    184,413/275,438 = 275,438/x
  3. Step 3: Cross multiply
    184,413x = 275,438 × 275,438
  4. Step 4: Simplify right side
    184,413x = 75,866,091,844
  5. Step 5: Solve for x
    x = 75,866,091,844/184,413
  6. Step 6: Final answer
    x = 411,392.32

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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.