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Finding the Third Proportional to 117,273 and 228,713

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Solution

The third proportional to 117,273 and 228,713 is: 446,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,273 : 228,713 = 228,713 : x
  2. Step 2: Convert to fraction form
    117,273/228,713 = 228,713/x
  3. Step 3: Cross multiply
    117,273x = 228,713 × 228,713
  4. Step 4: Simplify right side
    117,273x = 52,309,636,369
  5. Step 5: Solve for x
    x = 52,309,636,369/117,273
  6. Step 6: Final answer
    x = 446,050.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.