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Finding the Third Proportional to 288,393.75 and 430,234.88

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Solution

The third proportional to 288,393.75 and 430,234.88 is: 641,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,393.75 : 430,234.88 = 430,234.88 : x
  2. Step 2: Convert to fraction form
    288,393.75/430,234.88 = 430,234.88/x
  3. Step 3: Cross multiply
    288,393.75x = 430,234.88 × 430,234.88
  4. Step 4: Simplify right side
    288,393.75x = 185,102,047,666.27
  5. Step 5: Solve for x
    x = 185,102,047,666.27/288,393.75
  6. Step 6: Final answer
    x = 641,837.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.