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Finding the Third Proportional to 202,185.09 and 432,771.56

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Solution

The third proportional to 202,185.09 and 432,771.56 is: 926,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,185.09 : 432,771.56 = 432,771.56 : x
  2. Step 2: Convert to fraction form
    202,185.09/432,771.56 = 432,771.56/x
  3. Step 3: Cross multiply
    202,185.09x = 432,771.56 × 432,771.56
  4. Step 4: Simplify right side
    202,185.09x = 187,291,225,308.69
  5. Step 5: Solve for x
    x = 187,291,225,308.69/202,185.09
  6. Step 6: Final answer
    x = 926,335.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.