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Finding the Third Proportional to 184,412.50 and 278,313

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Solution

The third proportional to 184,412.50 and 278,313 is: 420,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,412.50 : 278,313 = 278,313 : x
  2. Step 2: Convert to fraction form
    184,412.50/278,313 = 278,313/x
  3. Step 3: Cross multiply
    184,412.50x = 278,313 × 278,313
  4. Step 4: Simplify right side
    184,412.50x = 77,458,125,969
  5. Step 5: Solve for x
    x = 77,458,125,969/184,412.50
  6. Step 6: Final answer
    x = 420,026.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.