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Finding the Third Proportional to 111,423 and 238,395

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Solution

The third proportional to 111,423 and 238,395 is: 510,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,423 : 238,395 = 238,395 : x
  2. Step 2: Convert to fraction form
    111,423/238,395 = 238,395/x
  3. Step 3: Cross multiply
    111,423x = 238,395 × 238,395
  4. Step 4: Simplify right side
    111,423x = 56,832,176,025
  5. Step 5: Solve for x
    x = 56,832,176,025/111,423
  6. Step 6: Final answer
    x = 510,057.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.