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Finding the Third Proportional to 161,011 and 353,894

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Solution

The third proportional to 161,011 and 353,894 is: 777,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,011 : 353,894 = 353,894 : x
  2. Step 2: Convert to fraction form
    161,011/353,894 = 353,894/x
  3. Step 3: Cross multiply
    161,011x = 353,894 × 353,894
  4. Step 4: Simplify right side
    161,011x = 125,240,963,236
  5. Step 5: Solve for x
    x = 125,240,963,236/161,011
  6. Step 6: Final answer
    x = 777,841.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.