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Finding the Third Proportional to 112,932 and 243,504

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Solution

The third proportional to 112,932 and 243,504 is: 525,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,932 : 243,504 = 243,504 : x
  2. Step 2: Convert to fraction form
    112,932/243,504 = 243,504/x
  3. Step 3: Cross multiply
    112,932x = 243,504 × 243,504
  4. Step 4: Simplify right side
    112,932x = 59,294,198,016
  5. Step 5: Solve for x
    x = 59,294,198,016/112,932
  6. Step 6: Final answer
    x = 525,043.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.