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Finding the Third Proportional to 133,874 and 281,552.50

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Solution

The third proportional to 133,874 and 281,552.50 is: 592,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874 : 281,552.50 = 281,552.50 : x
  2. Step 2: Convert to fraction form
    133,874/281,552.50 = 281,552.50/x
  3. Step 3: Cross multiply
    133,874x = 281,552.50 × 281,552.50
  4. Step 4: Simplify right side
    133,874x = 79,271,810,256.25
  5. Step 5: Solve for x
    x = 79,271,810,256.25/133,874
  6. Step 6: Final answer
    x = 592,137.46

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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.