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Finding the Third Proportional to 138,250.50 and 282,333

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Solution

The third proportional to 138,250.50 and 282,333 is: 576,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,250.50 : 282,333 = 282,333 : x
  2. Step 2: Convert to fraction form
    138,250.50/282,333 = 282,333/x
  3. Step 3: Cross multiply
    138,250.50x = 282,333 × 282,333
  4. Step 4: Simplify right side
    138,250.50x = 79,711,922,889
  5. Step 5: Solve for x
    x = 79,711,922,889/138,250.50
  6. Step 6: Final answer
    x = 576,576.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.