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Finding the Third Proportional to 199,751.63 and 429,149.25

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Solution

The third proportional to 199,751.63 and 429,149.25 is: 921,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,751.63 : 429,149.25 = 429,149.25 : x
  2. Step 2: Convert to fraction form
    199,751.63/429,149.25 = 429,149.25/x
  3. Step 3: Cross multiply
    199,751.63x = 429,149.25 × 429,149.25
  4. Step 4: Simplify right side
    199,751.63x = 184,169,078,775.56
  5. Step 5: Solve for x
    x = 184,169,078,775.56/199,751.63
  6. Step 6: Final answer
    x = 921,990.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.