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Finding the Third Proportional to 177,107 and 382,201

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Solution

The third proportional to 177,107 and 382,201 is: 824,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,107 : 382,201 = 382,201 : x
  2. Step 2: Convert to fraction form
    177,107/382,201 = 382,201/x
  3. Step 3: Cross multiply
    177,107x = 382,201 × 382,201
  4. Step 4: Simplify right side
    177,107x = 146,077,604,401
  5. Step 5: Solve for x
    x = 146,077,604,401/177,107
  6. Step 6: Final answer
    x = 824,798.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.