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Finding the Third Proportional to 105,372 and 228,603

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Solution

The third proportional to 105,372 and 228,603 is: 495,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,372 : 228,603 = 228,603 : x
  2. Step 2: Convert to fraction form
    105,372/228,603 = 228,603/x
  3. Step 3: Cross multiply
    105,372x = 228,603 × 228,603
  4. Step 4: Simplify right side
    105,372x = 52,259,331,609
  5. Step 5: Solve for x
    x = 52,259,331,609/105,372
  6. Step 6: Final answer
    x = 495,950.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.