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Finding the Third Proportional to 193,788 and 411,066

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Solution

The third proportional to 193,788 and 411,066 is: 871,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,788 : 411,066 = 411,066 : x
  2. Step 2: Convert to fraction form
    193,788/411,066 = 411,066/x
  3. Step 3: Cross multiply
    193,788x = 411,066 × 411,066
  4. Step 4: Simplify right side
    193,788x = 168,975,256,356
  5. Step 5: Solve for x
    x = 168,975,256,356/193,788
  6. Step 6: Final answer
    x = 871,959.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.