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Finding the Third Proportional to 193,867.50 and 284,411.25

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Solution

The third proportional to 193,867.50 and 284,411.25 is: 417,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,867.50 : 284,411.25 = 284,411.25 : x
  2. Step 2: Convert to fraction form
    193,867.50/284,411.25 = 284,411.25/x
  3. Step 3: Cross multiply
    193,867.50x = 284,411.25 × 284,411.25
  4. Step 4: Simplify right side
    193,867.50x = 80,889,759,126.56
  5. Step 5: Solve for x
    x = 80,889,759,126.56/193,867.50
  6. Step 6: Final answer
    x = 417,242.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.