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Finding the Third Proportional to 144,322.50 and 226,696.50

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Solution

The third proportional to 144,322.50 and 226,696.50 is: 356,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,322.50 : 226,696.50 = 226,696.50 : x
  2. Step 2: Convert to fraction form
    144,322.50/226,696.50 = 226,696.50/x
  3. Step 3: Cross multiply
    144,322.50x = 226,696.50 × 226,696.50
  4. Step 4: Simplify right side
    144,322.50x = 51,391,303,112.25
  5. Step 5: Solve for x
    x = 51,391,303,112.25/144,322.50
  6. Step 6: Final answer
    x = 356,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.