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Finding the Third Proportional to 184,482 and 278,417

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Solution

The third proportional to 184,482 and 278,417 is: 420,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,482 : 278,417 = 278,417 : x
  2. Step 2: Convert to fraction form
    184,482/278,417 = 278,417/x
  3. Step 3: Cross multiply
    184,482x = 278,417 × 278,417
  4. Step 4: Simplify right side
    184,482x = 77,516,025,889
  5. Step 5: Solve for x
    x = 77,516,025,889/184,482
  6. Step 6: Final answer
    x = 420,182.06

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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.