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Finding the Third Proportional to 111,438 and 243,187

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Solution

The third proportional to 111,438 and 243,187 is: 530,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,438 : 243,187 = 243,187 : x
  2. Step 2: Convert to fraction form
    111,438/243,187 = 243,187/x
  3. Step 3: Cross multiply
    111,438x = 243,187 × 243,187
  4. Step 4: Simplify right side
    111,438x = 59,139,916,969
  5. Step 5: Solve for x
    x = 59,139,916,969/111,438
  6. Step 6: Final answer
    x = 530,697.94

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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.