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Finding the Third Proportional to 193,915.13 and 284,482.69

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Solution

The third proportional to 193,915.13 and 284,482.69 is: 417,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,915.13 : 284,482.69 = 284,482.69 : x
  2. Step 2: Convert to fraction form
    193,915.13/284,482.69 = 284,482.69/x
  3. Step 3: Cross multiply
    193,915.13x = 284,482.69 × 284,482.69
  4. Step 4: Simplify right side
    193,915.13x = 80,930,399,487.22
  5. Step 5: Solve for x
    x = 80,930,399,487.22/193,915.13
  6. Step 6: Final answer
    x = 417,349.60

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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.