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Finding the Third Proportional to 155,494.50 and 332,310

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Solution

The third proportional to 155,494.50 and 332,310 is: 710,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,494.50 : 332,310 = 332,310 : x
  2. Step 2: Convert to fraction form
    155,494.50/332,310 = 332,310/x
  3. Step 3: Cross multiply
    155,494.50x = 332,310 × 332,310
  4. Step 4: Simplify right side
    155,494.50x = 110,429,936,100
  5. Step 5: Solve for x
    x = 110,429,936,100/155,494.50
  6. Step 6: Final answer
    x = 710,185.48

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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.