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Finding the Third Proportional to 176,446 and 384,614

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Solution

The third proportional to 176,446 and 384,614 is: 838,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,446 : 384,614 = 384,614 : x
  2. Step 2: Convert to fraction form
    176,446/384,614 = 384,614/x
  3. Step 3: Cross multiply
    176,446x = 384,614 × 384,614
  4. Step 4: Simplify right side
    176,446x = 147,927,928,996
  5. Step 5: Solve for x
    x = 147,927,928,996/176,446
  6. Step 6: Final answer
    x = 838,375.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.