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Finding the Third Proportional to 155,433 and 332,917.50

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Solution

The third proportional to 155,433 and 332,917.50 is: 713,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,433 : 332,917.50 = 332,917.50 : x
  2. Step 2: Convert to fraction form
    155,433/332,917.50 = 332,917.50/x
  3. Step 3: Cross multiply
    155,433x = 332,917.50 × 332,917.50
  4. Step 4: Simplify right side
    155,433x = 110,834,061,806.25
  5. Step 5: Solve for x
    x = 110,834,061,806.25/155,433
  6. Step 6: Final answer
    x = 713,066.48

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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.