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Finding the Third Proportional to 235,420.50 and 302,283

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Solution

The third proportional to 235,420.50 and 302,283 is: 388,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,420.50 : 302,283 = 302,283 : x
  2. Step 2: Convert to fraction form
    235,420.50/302,283 = 302,283/x
  3. Step 3: Cross multiply
    235,420.50x = 302,283 × 302,283
  4. Step 4: Simplify right side
    235,420.50x = 91,375,012,089
  5. Step 5: Solve for x
    x = 91,375,012,089/235,420.50
  6. Step 6: Final answer
    x = 388,135.32

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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.