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Finding the Third Proportional to 193,614.50 and 410,304.50

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Solution

The third proportional to 193,614.50 and 410,304.50 is: 869,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,614.50 : 410,304.50 = 410,304.50 : x
  2. Step 2: Convert to fraction form
    193,614.50/410,304.50 = 410,304.50/x
  3. Step 3: Cross multiply
    193,614.50x = 410,304.50 × 410,304.50
  4. Step 4: Simplify right side
    193,614.50x = 168,349,782,720.25
  5. Step 5: Solve for x
    x = 168,349,782,720.25/193,614.50
  6. Step 6: Final answer
    x = 869,510.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.