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Finding the Third Proportional to 201,166 and 434,999

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Solution

The third proportional to 201,166 and 434,999 is: 940,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,166 : 434,999 = 434,999 : x
  2. Step 2: Convert to fraction form
    201,166/434,999 = 434,999/x
  3. Step 3: Cross multiply
    201,166x = 434,999 × 434,999
  4. Step 4: Simplify right side
    201,166x = 189,224,130,001
  5. Step 5: Solve for x
    x = 189,224,130,001/201,166
  6. Step 6: Final answer
    x = 940,636.74

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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.