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Finding the Third Proportional to 114,945.75 and 250,880.63

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Solution

The third proportional to 114,945.75 and 250,880.63 is: 547,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,945.75 : 250,880.63 = 250,880.63 : x
  2. Step 2: Convert to fraction form
    114,945.75/250,880.63 = 250,880.63/x
  3. Step 3: Cross multiply
    114,945.75x = 250,880.63 × 250,880.63
  4. Step 4: Simplify right side
    114,945.75x = 62,941,088,000.39
  5. Step 5: Solve for x
    x = 62,941,088,000.39/114,945.75
  6. Step 6: Final answer
    x = 547,572.12

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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.