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Finding the Third Proportional to 176,409 and 384,543

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Solution

The third proportional to 176,409 and 384,543 is: 838,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,409 : 384,543 = 384,543 : x
  2. Step 2: Convert to fraction form
    176,409/384,543 = 384,543/x
  3. Step 3: Cross multiply
    176,409x = 384,543 × 384,543
  4. Step 4: Simplify right side
    176,409x = 147,873,318,849
  5. Step 5: Solve for x
    x = 147,873,318,849/176,409
  6. Step 6: Final answer
    x = 838,241.35

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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.