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Finding the Third Proportional to 178,464 and 286,992

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Solution

The third proportional to 178,464 and 286,992 is: 461,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464 : 286,992 = 286,992 : x
  2. Step 2: Convert to fraction form
    178,464/286,992 = 286,992/x
  3. Step 3: Cross multiply
    178,464x = 286,992 × 286,992
  4. Step 4: Simplify right side
    178,464x = 82,364,408,064
  5. Step 5: Solve for x
    x = 82,364,408,064/178,464
  6. Step 6: Final answer
    x = 461,518.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.