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Finding the Third Proportional to 177,347 and 389,155

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Solution

The third proportional to 177,347 and 389,155 is: 853,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,347 : 389,155 = 389,155 : x
  2. Step 2: Convert to fraction form
    177,347/389,155 = 389,155/x
  3. Step 3: Cross multiply
    177,347x = 389,155 × 389,155
  4. Step 4: Simplify right side
    177,347x = 151,441,614,025
  5. Step 5: Solve for x
    x = 151,441,614,025/177,347
  6. Step 6: Final answer
    x = 853,928.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.