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Finding the Third Proportional to 188,262 and 367,066

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Solution

The third proportional to 188,262 and 367,066 is: 715,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,262 : 367,066 = 367,066 : x
  2. Step 2: Convert to fraction form
    188,262/367,066 = 367,066/x
  3. Step 3: Cross multiply
    188,262x = 367,066 × 367,066
  4. Step 4: Simplify right side
    188,262x = 134,737,448,356
  5. Step 5: Solve for x
    x = 134,737,448,356/188,262
  6. Step 6: Final answer
    x = 715,691.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.