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Finding the Third Proportional to 111,395 and 240,358

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Solution

The third proportional to 111,395 and 240,358 is: 518,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,395 : 240,358 = 240,358 : x
  2. Step 2: Convert to fraction form
    111,395/240,358 = 240,358/x
  3. Step 3: Cross multiply
    111,395x = 240,358 × 240,358
  4. Step 4: Simplify right side
    111,395x = 57,771,968,164
  5. Step 5: Solve for x
    x = 57,771,968,164/111,395
  6. Step 6: Final answer
    x = 518,622.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.