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Finding the Third Proportional to 199,234.50 and 429,964

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Solution

The third proportional to 199,234.50 and 429,964 is: 927,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.50 : 429,964 = 429,964 : x
  2. Step 2: Convert to fraction form
    199,234.50/429,964 = 429,964/x
  3. Step 3: Cross multiply
    199,234.50x = 429,964 × 429,964
  4. Step 4: Simplify right side
    199,234.50x = 184,869,041,296
  5. Step 5: Solve for x
    x = 184,869,041,296/199,234.50
  6. Step 6: Final answer
    x = 927,896.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.