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Finding the Third Proportional to 193,924 and 284,502

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Solution

The third proportional to 193,924 and 284,502 is: 417,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,924 : 284,502 = 284,502 : x
  2. Step 2: Convert to fraction form
    193,924/284,502 = 284,502/x
  3. Step 3: Cross multiply
    193,924x = 284,502 × 284,502
  4. Step 4: Simplify right side
    193,924x = 80,941,388,004
  5. Step 5: Solve for x
    x = 80,941,388,004/193,924
  6. Step 6: Final answer
    x = 417,387.16

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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.