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Finding the Third Proportional to 202,435.31 and 432,891.56

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Solution

The third proportional to 202,435.31 and 432,891.56 is: 925,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435.31 : 432,891.56 = 432,891.56 : x
  2. Step 2: Convert to fraction form
    202,435.31/432,891.56 = 432,891.56/x
  3. Step 3: Cross multiply
    202,435.31x = 432,891.56 × 432,891.56
  4. Step 4: Simplify right side
    202,435.31x = 187,395,104,883.69
  5. Step 5: Solve for x
    x = 187,395,104,883.69/202,435.31
  6. Step 6: Final answer
    x = 925,703.64

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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.