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Finding the Third Proportional to 177,670.50 and 234,753

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Solution

The third proportional to 177,670.50 and 234,753 is: 310,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,670.50 : 234,753 = 234,753 : x
  2. Step 2: Convert to fraction form
    177,670.50/234,753 = 234,753/x
  3. Step 3: Cross multiply
    177,670.50x = 234,753 × 234,753
  4. Step 4: Simplify right side
    177,670.50x = 55,108,971,009
  5. Step 5: Solve for x
    x = 55,108,971,009/177,670.50
  6. Step 6: Final answer
    x = 310,175.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.