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Finding the Third Proportional to 105,753 and 228,929

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Solution

The third proportional to 105,753 and 228,929 is: 495,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753 : 228,929 = 228,929 : x
  2. Step 2: Convert to fraction form
    105,753/228,929 = 228,929/x
  3. Step 3: Cross multiply
    105,753x = 228,929 × 228,929
  4. Step 4: Simplify right side
    105,753x = 52,408,487,041
  5. Step 5: Solve for x
    x = 52,408,487,041/105,753
  6. Step 6: Final answer
    x = 495,574.47

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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.