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Finding the Third Proportional to 151,776.75 and 333,078

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Solution

The third proportional to 151,776.75 and 333,078 is: 730,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,776.75 : 333,078 = 333,078 : x
  2. Step 2: Convert to fraction form
    151,776.75/333,078 = 333,078/x
  3. Step 3: Cross multiply
    151,776.75x = 333,078 × 333,078
  4. Step 4: Simplify right side
    151,776.75x = 110,940,954,084
  5. Step 5: Solve for x
    x = 110,940,954,084/151,776.75
  6. Step 6: Final answer
    x = 730,948.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.