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Finding the Third Proportional to 201,719 and 434,560

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Solution

The third proportional to 201,719 and 434,560 is: 936,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,719 : 434,560 = 434,560 : x
  2. Step 2: Convert to fraction form
    201,719/434,560 = 434,560/x
  3. Step 3: Cross multiply
    201,719x = 434,560 × 434,560
  4. Step 4: Simplify right side
    201,719x = 188,842,393,600
  5. Step 5: Solve for x
    x = 188,842,393,600/201,719
  6. Step 6: Final answer
    x = 936,165.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.