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Finding the Third Proportional to 177,336 and 389,124

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Solution

The third proportional to 177,336 and 389,124 is: 853,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 389,124 = 389,124 : x
  2. Step 2: Convert to fraction form
    177,336/389,124 = 389,124/x
  3. Step 3: Cross multiply
    177,336x = 389,124 × 389,124
  4. Step 4: Simplify right side
    177,336x = 151,417,487,376
  5. Step 5: Solve for x
    x = 151,417,487,376/177,336
  6. Step 6: Final answer
    x = 853,845.17

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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.