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Finding the Third Proportional to 117,267.75 and 228,702.75

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Solution

The third proportional to 117,267.75 and 228,702.75 is: 446,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,267.75 : 228,702.75 = 228,702.75 : x
  2. Step 2: Convert to fraction form
    117,267.75/228,702.75 = 228,702.75/x
  3. Step 3: Cross multiply
    117,267.75x = 228,702.75 × 228,702.75
  4. Step 4: Simplify right side
    117,267.75x = 52,304,947,857.56
  5. Step 5: Solve for x
    x = 52,304,947,857.56/117,267.75
  6. Step 6: Final answer
    x = 446,030.11

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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.