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Finding the Third Proportional to 235,399.50 and 302,247

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Solution

The third proportional to 235,399.50 and 302,247 is: 388,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,399.50 : 302,247 = 302,247 : x
  2. Step 2: Convert to fraction form
    235,399.50/302,247 = 302,247/x
  3. Step 3: Cross multiply
    235,399.50x = 302,247 × 302,247
  4. Step 4: Simplify right side
    235,399.50x = 91,353,249,009
  5. Step 5: Solve for x
    x = 91,353,249,009/235,399.50
  6. Step 6: Final answer
    x = 388,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.