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Finding the Third Proportional to 84,428 and 184,408

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Solution

The third proportional to 84,428 and 184,408 is: 402,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,428 : 184,408 = 184,408 : x
  2. Step 2: Convert to fraction form
    84,428/184,408 = 184,408/x
  3. Step 3: Cross multiply
    84,428x = 184,408 × 184,408
  4. Step 4: Simplify right side
    84,428x = 34,006,310,464
  5. Step 5: Solve for x
    x = 34,006,310,464/84,428
  6. Step 6: Final answer
    x = 402,784.75

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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.