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Finding the Third Proportional to 155,535.75 and 333,102

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Solution

The third proportional to 155,535.75 and 333,102 is: 713,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,535.75 : 333,102 = 333,102 : x
  2. Step 2: Convert to fraction form
    155,535.75/333,102 = 333,102/x
  3. Step 3: Cross multiply
    155,535.75x = 333,102 × 333,102
  4. Step 4: Simplify right side
    155,535.75x = 110,956,942,404
  5. Step 5: Solve for x
    x = 110,956,942,404/155,535.75
  6. Step 6: Final answer
    x = 713,385.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.