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Finding the Third Proportional to 201,672 and 282,641

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Solution

The third proportional to 201,672 and 282,641 is: 396,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672 : 282,641 = 282,641 : x
  2. Step 2: Convert to fraction form
    201,672/282,641 = 282,641/x
  3. Step 3: Cross multiply
    201,672x = 282,641 × 282,641
  4. Step 4: Simplify right side
    201,672x = 79,885,934,881
  5. Step 5: Solve for x
    x = 79,885,934,881/201,672
  6. Step 6: Final answer
    x = 396,118.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.