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Finding the Third Proportional to 199,675.97 and 429,798.66

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Solution

The third proportional to 199,675.97 and 429,798.66 is: 925,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.97 : 429,798.66 = 429,798.66 : x
  2. Step 2: Convert to fraction form
    199,675.97/429,798.66 = 429,798.66/x
  3. Step 3: Cross multiply
    199,675.97x = 429,798.66 × 429,798.66
  4. Step 4: Simplify right side
    199,675.97x = 184,726,884,914.31
  5. Step 5: Solve for x
    x = 184,726,884,914.31/199,675.97
  6. Step 6: Final answer
    x = 925,133.29

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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.