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Finding the Third Proportional to 201,984 and 313,641

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Solution

The third proportional to 201,984 and 313,641 is: 487,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984 : 313,641 = 313,641 : x
  2. Step 2: Convert to fraction form
    201,984/313,641 = 313,641/x
  3. Step 3: Cross multiply
    201,984x = 313,641 × 313,641
  4. Step 4: Simplify right side
    201,984x = 98,370,676,881
  5. Step 5: Solve for x
    x = 98,370,676,881/201,984
  6. Step 6: Final answer
    x = 487,022.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.