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Finding the Third Proportional to 201,919.50 and 424,743.75

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Solution

The third proportional to 201,919.50 and 424,743.75 is: 893,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.50 : 424,743.75 = 424,743.75 : x
  2. Step 2: Convert to fraction form
    201,919.50/424,743.75 = 424,743.75/x
  3. Step 3: Cross multiply
    201,919.50x = 424,743.75 × 424,743.75
  4. Step 4: Simplify right side
    201,919.50x = 180,407,253,164.06
  5. Step 5: Solve for x
    x = 180,407,253,164.06/201,919.50
  6. Step 6: Final answer
    x = 893,461.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.