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Finding the Third Proportional to 184,784 and 278,841

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Solution

The third proportional to 184,784 and 278,841 is: 420,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,784 : 278,841 = 278,841 : x
  2. Step 2: Convert to fraction form
    184,784/278,841 = 278,841/x
  3. Step 3: Cross multiply
    184,784x = 278,841 × 278,841
  4. Step 4: Simplify right side
    184,784x = 77,752,303,281
  5. Step 5: Solve for x
    x = 77,752,303,281/184,784
  6. Step 6: Final answer
    x = 420,774.00

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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.