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Finding the Third Proportional to 227,107.50 and 492,849

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Solution

The third proportional to 227,107.50 and 492,849 is: 1,069,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,107.50 : 492,849 = 492,849 : x
  2. Step 2: Convert to fraction form
    227,107.50/492,849 = 492,849/x
  3. Step 3: Cross multiply
    227,107.50x = 492,849 × 492,849
  4. Step 4: Simplify right side
    227,107.50x = 242,900,136,801
  5. Step 5: Solve for x
    x = 242,900,136,801/227,107.50
  6. Step 6: Final answer
    x = 1,069,538.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.