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Finding the Third Proportional to 196,929.56 and 429,501.66

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Solution

The third proportional to 196,929.56 and 429,501.66 is: 936,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,929.56 : 429,501.66 = 429,501.66 : x
  2. Step 2: Convert to fraction form
    196,929.56/429,501.66 = 429,501.66/x
  3. Step 3: Cross multiply
    196,929.56x = 429,501.66 × 429,501.66
  4. Step 4: Simplify right side
    196,929.56x = 184,471,672,721.49
  5. Step 5: Solve for x
    x = 184,471,672,721.49/196,929.56
  6. Step 6: Final answer
    x = 936,739.36

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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.