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Finding the Third Proportional to 114,073.50 and 254,350.50

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Solution

The third proportional to 114,073.50 and 254,350.50 is: 567,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.50 : 254,350.50 = 254,350.50 : x
  2. Step 2: Convert to fraction form
    114,073.50/254,350.50 = 254,350.50/x
  3. Step 3: Cross multiply
    114,073.50x = 254,350.50 × 254,350.50
  4. Step 4: Simplify right side
    114,073.50x = 64,694,176,850.25
  5. Step 5: Solve for x
    x = 64,694,176,850.25/114,073.50
  6. Step 6: Final answer
    x = 567,127.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.