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Finding the Third Proportional to 167,596 and 361,430

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Solution

The third proportional to 167,596 and 361,430 is: 779,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,596 : 361,430 = 361,430 : x
  2. Step 2: Convert to fraction form
    167,596/361,430 = 361,430/x
  3. Step 3: Cross multiply
    167,596x = 361,430 × 361,430
  4. Step 4: Simplify right side
    167,596x = 130,631,644,900
  5. Step 5: Solve for x
    x = 130,631,644,900/167,596
  6. Step 6: Final answer
    x = 779,443.69

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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.