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Finding the Third Proportional to 111,395 and 234,454

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Solution

The third proportional to 111,395 and 234,454 is: 493,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,395 : 234,454 = 234,454 : x
  2. Step 2: Convert to fraction form
    111,395/234,454 = 234,454/x
  3. Step 3: Cross multiply
    111,395x = 234,454 × 234,454
  4. Step 4: Simplify right side
    111,395x = 54,968,678,116
  5. Step 5: Solve for x
    x = 54,968,678,116/111,395
  6. Step 6: Final answer
    x = 493,457.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.