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Finding the Third Proportional to 117,271 and 228,711

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Solution

The third proportional to 117,271 and 228,711 is: 446,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,271 : 228,711 = 228,711 : x
  2. Step 2: Convert to fraction form
    117,271/228,711 = 228,711/x
  3. Step 3: Cross multiply
    117,271x = 228,711 × 228,711
  4. Step 4: Simplify right side
    117,271x = 52,308,721,521
  5. Step 5: Solve for x
    x = 52,308,721,521/117,271
  6. Step 6: Final answer
    x = 446,049.93

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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.