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Finding the Third Proportional to 177,641 and 367,810

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Solution

The third proportional to 177,641 and 367,810 is: 761,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641 : 367,810 = 367,810 : x
  2. Step 2: Convert to fraction form
    177,641/367,810 = 367,810/x
  3. Step 3: Cross multiply
    177,641x = 367,810 × 367,810
  4. Step 4: Simplify right side
    177,641x = 135,284,196,100
  5. Step 5: Solve for x
    x = 135,284,196,100/177,641
  6. Step 6: Final answer
    x = 761,559.53

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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.