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Finding the Third Proportional to 212,928.75 and 296,065.13

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Solution

The third proportional to 212,928.75 and 296,065.13 is: 411,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,928.75 : 296,065.13 = 296,065.13 : x
  2. Step 2: Convert to fraction form
    212,928.75/296,065.13 = 296,065.13/x
  3. Step 3: Cross multiply
    212,928.75x = 296,065.13 × 296,065.13
  4. Step 4: Simplify right side
    212,928.75x = 87,654,558,241.27
  5. Step 5: Solve for x
    x = 87,654,558,241.27/212,928.75
  6. Step 6: Final answer
    x = 411,661.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.