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Finding the Third Proportional to 111,165 and 243,516

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Solution

The third proportional to 111,165 and 243,516 is: 533,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,165 : 243,516 = 243,516 : x
  2. Step 2: Convert to fraction form
    111,165/243,516 = 243,516/x
  3. Step 3: Cross multiply
    111,165x = 243,516 × 243,516
  4. Step 4: Simplify right side
    111,165x = 59,300,042,256
  5. Step 5: Solve for x
    x = 59,300,042,256/111,165
  6. Step 6: Final answer
    x = 533,441.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.