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Finding the Third Proportional to 177,333.75 and 248,834.63

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Solution

The third proportional to 177,333.75 and 248,834.63 is: 349,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333.75 : 248,834.63 = 248,834.63 : x
  2. Step 2: Convert to fraction form
    177,333.75/248,834.63 = 248,834.63/x
  3. Step 3: Cross multiply
    177,333.75x = 248,834.63 × 248,834.63
  4. Step 4: Simplify right side
    177,333.75x = 61,918,670,598.89
  5. Step 5: Solve for x
    x = 61,918,670,598.89/177,333.75
  6. Step 6: Final answer
    x = 349,164.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.