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Finding the Third Proportional to 230,827.50 and 345,318

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Solution

The third proportional to 230,827.50 and 345,318 is: 516,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,827.50 : 345,318 = 345,318 : x
  2. Step 2: Convert to fraction form
    230,827.50/345,318 = 345,318/x
  3. Step 3: Cross multiply
    230,827.50x = 345,318 × 345,318
  4. Step 4: Simplify right side
    230,827.50x = 119,244,521,124
  5. Step 5: Solve for x
    x = 119,244,521,124/230,827.50
  6. Step 6: Final answer
    x = 516,595.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.