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Finding the Third Proportional to 193,573.50 and 424,507.50

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Solution

The third proportional to 193,573.50 and 424,507.50 is: 930,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,573.50 : 424,507.50 = 424,507.50 : x
  2. Step 2: Convert to fraction form
    193,573.50/424,507.50 = 424,507.50/x
  3. Step 3: Cross multiply
    193,573.50x = 424,507.50 × 424,507.50
  4. Step 4: Simplify right side
    193,573.50x = 180,206,617,556.25
  5. Step 5: Solve for x
    x = 180,206,617,556.25/193,573.50
  6. Step 6: Final answer
    x = 930,946.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.