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Finding the Third Proportional to 154,576.88 and 245,890.69

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Solution

The third proportional to 154,576.88 and 245,890.69 is: 391,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,576.88 : 245,890.69 = 245,890.69 : x
  2. Step 2: Convert to fraction form
    154,576.88/245,890.69 = 245,890.69/x
  3. Step 3: Cross multiply
    154,576.88x = 245,890.69 × 245,890.69
  4. Step 4: Simplify right side
    154,576.88x = 60,462,230,199.22
  5. Step 5: Solve for x
    x = 60,462,230,199.22/154,576.88
  6. Step 6: Final answer
    x = 391,146.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.