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Finding the Third Proportional to 192,778 and 415,095

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Solution

The third proportional to 192,778 and 415,095 is: 893,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,778 : 415,095 = 415,095 : x
  2. Step 2: Convert to fraction form
    192,778/415,095 = 415,095/x
  3. Step 3: Cross multiply
    192,778x = 415,095 × 415,095
  4. Step 4: Simplify right side
    192,778x = 172,303,859,025
  5. Step 5: Solve for x
    x = 172,303,859,025/192,778
  6. Step 6: Final answer
    x = 893,794.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.