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Finding the Third Proportional to 202,371.75 and 296,996.63

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Solution

The third proportional to 202,371.75 and 296,996.63 is: 435,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,371.75 : 296,996.63 = 296,996.63 : x
  2. Step 2: Convert to fraction form
    202,371.75/296,996.63 = 296,996.63/x
  3. Step 3: Cross multiply
    202,371.75x = 296,996.63 × 296,996.63
  4. Step 4: Simplify right side
    202,371.75x = 88,206,995,261.39
  5. Step 5: Solve for x
    x = 88,206,995,261.39/202,371.75
  6. Step 6: Final answer
    x = 435,866.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.