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Finding the Third Proportional to 111,545 and 243,398

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Solution

The third proportional to 111,545 and 243,398 is: 531,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,545 : 243,398 = 243,398 : x
  2. Step 2: Convert to fraction form
    111,545/243,398 = 243,398/x
  3. Step 3: Cross multiply
    111,545x = 243,398 × 243,398
  4. Step 4: Simplify right side
    111,545x = 59,242,586,404
  5. Step 5: Solve for x
    x = 59,242,586,404/111,545
  6. Step 6: Final answer
    x = 531,109.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.