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Finding the Third Proportional to 114,702.75 and 250,141.50

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Solution

The third proportional to 114,702.75 and 250,141.50 is: 545,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702.75 : 250,141.50 = 250,141.50 : x
  2. Step 2: Convert to fraction form
    114,702.75/250,141.50 = 250,141.50/x
  3. Step 3: Cross multiply
    114,702.75x = 250,141.50 × 250,141.50
  4. Step 4: Simplify right side
    114,702.75x = 62,570,770,022.25
  5. Step 5: Solve for x
    x = 62,570,770,022.25/114,702.75
  6. Step 6: Final answer
    x = 545,503.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.