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Finding the Third Proportional to 199,784.25 and 424,995.75

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Solution

The third proportional to 199,784.25 and 424,995.75 is: 904,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.25 : 424,995.75 = 424,995.75 : x
  2. Step 2: Convert to fraction form
    199,784.25/424,995.75 = 424,995.75/x
  3. Step 3: Cross multiply
    199,784.25x = 424,995.75 × 424,995.75
  4. Step 4: Simplify right side
    199,784.25x = 180,621,387,518.06
  5. Step 5: Solve for x
    x = 180,621,387,518.06/199,784.25
  6. Step 6: Final answer
    x = 904,082.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.