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Finding the Third Proportional to 201,325 and 438,076

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Solution

The third proportional to 201,325 and 438,076 is: 953,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,325 : 438,076 = 438,076 : x
  2. Step 2: Convert to fraction form
    201,325/438,076 = 438,076/x
  3. Step 3: Cross multiply
    201,325x = 438,076 × 438,076
  4. Step 4: Simplify right side
    201,325x = 191,910,581,776
  5. Step 5: Solve for x
    x = 191,910,581,776/201,325
  6. Step 6: Final answer
    x = 953,237.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.