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Finding the Third Proportional to 168,590 and 363,316

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Solution

The third proportional to 168,590 and 363,316 is: 782,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,590 : 363,316 = 363,316 : x
  2. Step 2: Convert to fraction form
    168,590/363,316 = 363,316/x
  3. Step 3: Cross multiply
    168,590x = 363,316 × 363,316
  4. Step 4: Simplify right side
    168,590x = 131,998,515,856
  5. Step 5: Solve for x
    x = 131,998,515,856/168,590
  6. Step 6: Final answer
    x = 782,955.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.