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Finding the Third Proportional to 163,577 and 231,969

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Solution

The third proportional to 163,577 and 231,969 is: 328,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,577 : 231,969 = 231,969 : x
  2. Step 2: Convert to fraction form
    163,577/231,969 = 231,969/x
  3. Step 3: Cross multiply
    163,577x = 231,969 × 231,969
  4. Step 4: Simplify right side
    163,577x = 53,809,616,961
  5. Step 5: Solve for x
    x = 53,809,616,961/163,577
  6. Step 6: Final answer
    x = 328,955.89

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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.