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Finding the Third Proportional to 177,788 and 385,087

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Solution

The third proportional to 177,788 and 385,087 is: 834,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788 : 385,087 = 385,087 : x
  2. Step 2: Convert to fraction form
    177,788/385,087 = 385,087/x
  3. Step 3: Cross multiply
    177,788x = 385,087 × 385,087
  4. Step 4: Simplify right side
    177,788x = 148,291,997,569
  5. Step 5: Solve for x
    x = 148,291,997,569/177,788
  6. Step 6: Final answer
    x = 834,094.53

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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.