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Finding the Third Proportional to 163,405.50 and 245,025

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Solution

The third proportional to 163,405.50 and 245,025 is: 367,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,405.50 : 245,025 = 245,025 : x
  2. Step 2: Convert to fraction form
    163,405.50/245,025 = 245,025/x
  3. Step 3: Cross multiply
    163,405.50x = 245,025 × 245,025
  4. Step 4: Simplify right side
    163,405.50x = 60,037,250,625
  5. Step 5: Solve for x
    x = 60,037,250,625/163,405.50
  6. Step 6: Final answer
    x = 367,412.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.