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Finding the Third Proportional to 105,735 and 228,894

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Solution

The third proportional to 105,735 and 228,894 is: 495,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735 : 228,894 = 228,894 : x
  2. Step 2: Convert to fraction form
    105,735/228,894 = 228,894/x
  3. Step 3: Cross multiply
    105,735x = 228,894 × 228,894
  4. Step 4: Simplify right side
    105,735x = 52,392,463,236
  5. Step 5: Solve for x
    x = 52,392,463,236/105,735
  6. Step 6: Final answer
    x = 495,507.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.