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Finding the Third Proportional to 103,487 and 223,298

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Solution

The third proportional to 103,487 and 223,298 is: 481,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,487 : 223,298 = 223,298 : x
  2. Step 2: Convert to fraction form
    103,487/223,298 = 223,298/x
  3. Step 3: Cross multiply
    103,487x = 223,298 × 223,298
  4. Step 4: Simplify right side
    103,487x = 49,861,996,804
  5. Step 5: Solve for x
    x = 49,861,996,804/103,487
  6. Step 6: Final answer
    x = 481,818.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.