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Finding the Third Proportional to 199,239.75 and 429,966

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Solution

The third proportional to 199,239.75 and 429,966 is: 927,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,239.75 : 429,966 = 429,966 : x
  2. Step 2: Convert to fraction form
    199,239.75/429,966 = 429,966/x
  3. Step 3: Cross multiply
    199,239.75x = 429,966 × 429,966
  4. Step 4: Simplify right side
    199,239.75x = 184,870,761,156
  5. Step 5: Solve for x
    x = 184,870,761,156/199,239.75
  6. Step 6: Final answer
    x = 927,880.91

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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.