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Finding the Third Proportional to 202,950.56 and 438,076.69

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Solution

The third proportional to 202,950.56 and 438,076.69 is: 945,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,950.56 : 438,076.69 = 438,076.69 : x
  2. Step 2: Convert to fraction form
    202,950.56/438,076.69 = 438,076.69/x
  3. Step 3: Cross multiply
    202,950.56x = 438,076.69 × 438,076.69
  4. Step 4: Simplify right side
    202,950.56x = 191,911,184,130.97
  5. Step 5: Solve for x
    x = 191,911,184,130.97/202,950.56
  6. Step 6: Final answer
    x = 945,605.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.