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Finding the Third Proportional to 103,550 and 226,483

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Solution

The third proportional to 103,550 and 226,483 is: 495,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,550 : 226,483 = 226,483 : x
  2. Step 2: Convert to fraction form
    103,550/226,483 = 226,483/x
  3. Step 3: Cross multiply
    103,550x = 226,483 × 226,483
  4. Step 4: Simplify right side
    103,550x = 51,294,549,289
  5. Step 5: Solve for x
    x = 51,294,549,289/103,550
  6. Step 6: Final answer
    x = 495,360.21

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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.