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Finding the Third Proportional to 84,482 and 184,541

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Solution

The third proportional to 84,482 and 184,541 is: 403,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,482 : 184,541 = 184,541 : x
  2. Step 2: Convert to fraction form
    84,482/184,541 = 184,541/x
  3. Step 3: Cross multiply
    84,482x = 184,541 × 184,541
  4. Step 4: Simplify right side
    84,482x = 34,055,380,681
  5. Step 5: Solve for x
    x = 34,055,380,681/84,482
  6. Step 6: Final answer
    x = 403,108.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.