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Finding the Third Proportional to 177,297.75 and 384,133.50

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Solution

The third proportional to 177,297.75 and 384,133.50 is: 832,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,297.75 : 384,133.50 = 384,133.50 : x
  2. Step 2: Convert to fraction form
    177,297.75/384,133.50 = 384,133.50/x
  3. Step 3: Cross multiply
    177,297.75x = 384,133.50 × 384,133.50
  4. Step 4: Simplify right side
    177,297.75x = 147,558,545,822.25
  5. Step 5: Solve for x
    x = 147,558,545,822.25/177,297.75
  6. Step 6: Final answer
    x = 832,264.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.