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Finding the Third Proportional to 243,167 and 363,778

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Solution

The third proportional to 243,167 and 363,778 is: 544,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,167 : 363,778 = 363,778 : x
  2. Step 2: Convert to fraction form
    243,167/363,778 = 363,778/x
  3. Step 3: Cross multiply
    243,167x = 363,778 × 363,778
  4. Step 4: Simplify right side
    243,167x = 132,334,433,284
  5. Step 5: Solve for x
    x = 132,334,433,284/243,167
  6. Step 6: Final answer
    x = 544,212.14

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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.