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Finding the Third Proportional to 201,542 and 314,568

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Solution

The third proportional to 201,542 and 314,568 is: 490,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,542 : 314,568 = 314,568 : x
  2. Step 2: Convert to fraction form
    201,542/314,568 = 314,568/x
  3. Step 3: Cross multiply
    201,542x = 314,568 × 314,568
  4. Step 4: Simplify right side
    201,542x = 98,953,026,624
  5. Step 5: Solve for x
    x = 98,953,026,624/201,542
  6. Step 6: Final answer
    x = 490,979.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.