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Finding the Third Proportional to 203,551.13 and 434,154

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Solution

The third proportional to 203,551.13 and 434,154 is: 926,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,551.13 : 434,154 = 434,154 : x
  2. Step 2: Convert to fraction form
    203,551.13/434,154 = 434,154/x
  3. Step 3: Cross multiply
    203,551.13x = 434,154 × 434,154
  4. Step 4: Simplify right side
    203,551.13x = 188,489,695,716
  5. Step 5: Solve for x
    x = 188,489,695,716/203,551.13
  6. Step 6: Final answer
    x = 926,006.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.