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Finding the Third Proportional to 183,760 and 404,768

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Solution

The third proportional to 183,760 and 404,768 is: 891,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,760 : 404,768 = 404,768 : x
  2. Step 2: Convert to fraction form
    183,760/404,768 = 404,768/x
  3. Step 3: Cross multiply
    183,760x = 404,768 × 404,768
  4. Step 4: Simplify right side
    183,760x = 163,837,133,824
  5. Step 5: Solve for x
    x = 163,837,133,824/183,760
  6. Step 6: Final answer
    x = 891,582.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.