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Finding the Third Proportional to 235,438.50 and 302,310

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Solution

The third proportional to 235,438.50 and 302,310 is: 388,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,438.50 : 302,310 = 302,310 : x
  2. Step 2: Convert to fraction form
    235,438.50/302,310 = 302,310/x
  3. Step 3: Cross multiply
    235,438.50x = 302,310 × 302,310
  4. Step 4: Simplify right side
    235,438.50x = 91,391,336,100
  5. Step 5: Solve for x
    x = 91,391,336,100/235,438.50
  6. Step 6: Final answer
    x = 388,174.98

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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.