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Finding the Third Proportional to 177,329.25 and 384,152.63

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Solution

The third proportional to 177,329.25 and 384,152.63 is: 832,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,329.25 : 384,152.63 = 384,152.63 : x
  2. Step 2: Convert to fraction form
    177,329.25/384,152.63 = 384,152.63/x
  3. Step 3: Cross multiply
    177,329.25x = 384,152.63 × 384,152.63
  4. Step 4: Simplify right side
    177,329.25x = 147,573,239,294.39
  5. Step 5: Solve for x
    x = 147,573,239,294.39/177,329.25
  6. Step 6: Final answer
    x = 832,199.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.