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Finding the Third Proportional to 117,271.13 and 228,709.13

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Solution

The third proportional to 117,271.13 and 228,709.13 is: 446,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,271.13 : 228,709.13 = 228,709.13 : x
  2. Step 2: Convert to fraction form
    117,271.13/228,709.13 = 228,709.13/x
  3. Step 3: Cross multiply
    117,271.13x = 228,709.13 × 228,709.13
  4. Step 4: Simplify right side
    117,271.13x = 52,307,863,858.27
  5. Step 5: Solve for x
    x = 52,307,863,858.27/117,271.13
  6. Step 6: Final answer
    x = 446,042.14

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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.