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Finding the Third Proportional to 201,029 and 434,314

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Solution

The third proportional to 201,029 and 434,314 is: 938,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,029 : 434,314 = 434,314 : x
  2. Step 2: Convert to fraction form
    201,029/434,314 = 434,314/x
  3. Step 3: Cross multiply
    201,029x = 434,314 × 434,314
  4. Step 4: Simplify right side
    201,029x = 188,628,650,596
  5. Step 5: Solve for x
    x = 188,628,650,596/201,029
  6. Step 6: Final answer
    x = 938,315.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.