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Finding the Third Proportional to 202,871.25 and 433,883.25

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Solution

The third proportional to 202,871.25 and 433,883.25 is: 927,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,871.25 : 433,883.25 = 433,883.25 : x
  2. Step 2: Convert to fraction form
    202,871.25/433,883.25 = 433,883.25/x
  3. Step 3: Cross multiply
    202,871.25x = 433,883.25 × 433,883.25
  4. Step 4: Simplify right side
    202,871.25x = 188,254,674,630.56
  5. Step 5: Solve for x
    x = 188,254,674,630.56/202,871.25
  6. Step 6: Final answer
    x = 927,951.47

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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.