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Finding the Third Proportional to 177,596 and 380,464

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Solution

The third proportional to 177,596 and 380,464 is: 815,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,596 : 380,464 = 380,464 : x
  2. Step 2: Convert to fraction form
    177,596/380,464 = 380,464/x
  3. Step 3: Cross multiply
    177,596x = 380,464 × 380,464
  4. Step 4: Simplify right side
    177,596x = 144,752,855,296
  5. Step 5: Solve for x
    x = 144,752,855,296/177,596
  6. Step 6: Final answer
    x = 815,068.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.