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Finding the Third Proportional to 196,557.75 and 429,918.75

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Solution

The third proportional to 196,557.75 and 429,918.75 is: 940,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,557.75 : 429,918.75 = 429,918.75 : x
  2. Step 2: Convert to fraction form
    196,557.75/429,918.75 = 429,918.75/x
  3. Step 3: Cross multiply
    196,557.75x = 429,918.75 × 429,918.75
  4. Step 4: Simplify right side
    196,557.75x = 184,830,131,601.56
  5. Step 5: Solve for x
    x = 184,830,131,601.56/196,557.75
  6. Step 6: Final answer
    x = 940,335.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.