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Finding the Third Proportional to 235,429.50 and 302,292

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Solution

The third proportional to 235,429.50 and 302,292 is: 388,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.50 : 302,292 = 302,292 : x
  2. Step 2: Convert to fraction form
    235,429.50/302,292 = 302,292/x
  3. Step 3: Cross multiply
    235,429.50x = 302,292 × 302,292
  4. Step 4: Simplify right side
    235,429.50x = 91,380,453,264
  5. Step 5: Solve for x
    x = 91,380,453,264/235,429.50
  6. Step 6: Final answer
    x = 388,143.60

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