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Finding the Third Proportional to 133,585.50 and 281,004

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Solution

The third proportional to 133,585.50 and 281,004 is: 591,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,585.50 : 281,004 = 281,004 : x
  2. Step 2: Convert to fraction form
    133,585.50/281,004 = 281,004/x
  3. Step 3: Cross multiply
    133,585.50x = 281,004 × 281,004
  4. Step 4: Simplify right side
    133,585.50x = 78,963,248,016
  5. Step 5: Solve for x
    x = 78,963,248,016/133,585.50
  6. Step 6: Final answer
    x = 591,106.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.