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Finding the Third Proportional to 202,382 and 438,295

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Solution

The third proportional to 202,382 and 438,295 is: 949,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382 : 438,295 = 438,295 : x
  2. Step 2: Convert to fraction form
    202,382/438,295 = 438,295/x
  3. Step 3: Cross multiply
    202,382x = 438,295 × 438,295
  4. Step 4: Simplify right side
    202,382x = 192,102,507,025
  5. Step 5: Solve for x
    x = 192,102,507,025/202,382
  6. Step 6: Final answer
    x = 949,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.