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Finding the Third Proportional to 196,813.13 and 429,237.56

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Solution

The third proportional to 196,813.13 and 429,237.56 is: 936,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,813.13 : 429,237.56 = 429,237.56 : x
  2. Step 2: Convert to fraction form
    196,813.13/429,237.56 = 429,237.56/x
  3. Step 3: Cross multiply
    196,813.13x = 429,237.56 × 429,237.56
  4. Step 4: Simplify right side
    196,813.13x = 184,244,885,060.94
  5. Step 5: Solve for x
    x = 184,244,885,060.94/196,813.13
  6. Step 6: Final answer
    x = 936,141.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.