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Finding the Third Proportional to 184,838 and 278,076

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Solution

The third proportional to 184,838 and 278,076 is: 418,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,838 : 278,076 = 278,076 : x
  2. Step 2: Convert to fraction form
    184,838/278,076 = 278,076/x
  3. Step 3: Cross multiply
    184,838x = 278,076 × 278,076
  4. Step 4: Simplify right side
    184,838x = 77,326,261,776
  5. Step 5: Solve for x
    x = 77,326,261,776/184,838
  6. Step 6: Final answer
    x = 418,346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.