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Finding the Third Proportional to 177,640 and 367,808

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Solution

The third proportional to 177,640 and 367,808 is: 761,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640 : 367,808 = 367,808 : x
  2. Step 2: Convert to fraction form
    177,640/367,808 = 367,808/x
  3. Step 3: Cross multiply
    177,640x = 367,808 × 367,808
  4. Step 4: Simplify right side
    177,640x = 135,282,724,864
  5. Step 5: Solve for x
    x = 135,282,724,864/177,640
  6. Step 6: Final answer
    x = 761,555.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.