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Finding the Third Proportional to 177,348 and 389,148

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Solution

The third proportional to 177,348 and 389,148 is: 853,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,348 : 389,148 = 389,148 : x
  2. Step 2: Convert to fraction form
    177,348/389,148 = 389,148/x
  3. Step 3: Cross multiply
    177,348x = 389,148 × 389,148
  4. Step 4: Simplify right side
    177,348x = 151,436,165,904
  5. Step 5: Solve for x
    x = 151,436,165,904/177,348
  6. Step 6: Final answer
    x = 853,892.72

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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.