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Finding the Third Proportional to 163,242 and 231,066

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Solution

The third proportional to 163,242 and 231,066 is: 327,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,242 : 231,066 = 231,066 : x
  2. Step 2: Convert to fraction form
    163,242/231,066 = 231,066/x
  3. Step 3: Cross multiply
    163,242x = 231,066 × 231,066
  4. Step 4: Simplify right side
    163,242x = 53,391,496,356
  5. Step 5: Solve for x
    x = 53,391,496,356/163,242
  6. Step 6: Final answer
    x = 327,069.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.