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Finding the Third Proportional to 177,742 and 385,007

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Solution

The third proportional to 177,742 and 385,007 is: 833,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,742 : 385,007 = 385,007 : x
  2. Step 2: Convert to fraction form
    177,742/385,007 = 385,007/x
  3. Step 3: Cross multiply
    177,742x = 385,007 × 385,007
  4. Step 4: Simplify right side
    177,742x = 148,230,390,049
  5. Step 5: Solve for x
    x = 148,230,390,049/177,742
  6. Step 6: Final answer
    x = 833,963.78

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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.