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Finding the Third Proportional to 203,374 and 475,090

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Solution

The third proportional to 203,374 and 475,090 is: 1,109,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,374 : 475,090 = 475,090 : x
  2. Step 2: Convert to fraction form
    203,374/475,090 = 475,090/x
  3. Step 3: Cross multiply
    203,374x = 475,090 × 475,090
  4. Step 4: Simplify right side
    203,374x = 225,710,508,100
  5. Step 5: Solve for x
    x = 225,710,508,100/203,374
  6. Step 6: Final answer
    x = 1,109,829.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.