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Finding the Third Proportional to 111,582 and 232,188

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Solution

The third proportional to 111,582 and 232,188 is: 483,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 232,188 = 232,188 : x
  2. Step 2: Convert to fraction form
    111,582/232,188 = 232,188/x
  3. Step 3: Cross multiply
    111,582x = 232,188 × 232,188
  4. Step 4: Simplify right side
    111,582x = 53,911,267,344
  5. Step 5: Solve for x
    x = 53,911,267,344/111,582
  6. Step 6: Final answer
    x = 483,153.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.