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Finding the Third Proportional to 151,229.25 and 223,386.75

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Solution

The third proportional to 151,229.25 and 223,386.75 is: 329,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,229.25 : 223,386.75 = 223,386.75 : x
  2. Step 2: Convert to fraction form
    151,229.25/223,386.75 = 223,386.75/x
  3. Step 3: Cross multiply
    151,229.25x = 223,386.75 × 223,386.75
  4. Step 4: Simplify right side
    151,229.25x = 49,901,640,075.56
  5. Step 5: Solve for x
    x = 49,901,640,075.56/151,229.25
  6. Step 6: Final answer
    x = 329,973.47

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.