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Finding the Third Proportional to 105,732 and 228,888

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Solution

The third proportional to 105,732 and 228,888 is: 495,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732 : 228,888 = 228,888 : x
  2. Step 2: Convert to fraction form
    105,732/228,888 = 228,888/x
  3. Step 3: Cross multiply
    105,732x = 228,888 × 228,888
  4. Step 4: Simplify right side
    105,732x = 52,389,716,544
  5. Step 5: Solve for x
    x = 52,389,716,544/105,732
  6. Step 6: Final answer
    x = 495,495.37

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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.