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Finding the Third Proportional to 103,541 and 226,465

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Solution

The third proportional to 103,541 and 226,465 is: 495,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541 : 226,465 = 226,465 : x
  2. Step 2: Convert to fraction form
    103,541/226,465 = 226,465/x
  3. Step 3: Cross multiply
    103,541x = 226,465 × 226,465
  4. Step 4: Simplify right side
    103,541x = 51,286,396,225
  5. Step 5: Solve for x
    x = 51,286,396,225/103,541
  6. Step 6: Final answer
    x = 495,324.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.