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Finding the Third Proportional to 109,482 and 236,955

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Solution

The third proportional to 109,482 and 236,955 is: 512,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482 : 236,955 = 236,955 : x
  2. Step 2: Convert to fraction form
    109,482/236,955 = 236,955/x
  3. Step 3: Cross multiply
    109,482x = 236,955 × 236,955
  4. Step 4: Simplify right side
    109,482x = 56,147,672,025
  5. Step 5: Solve for x
    x = 56,147,672,025/109,482
  6. Step 6: Final answer
    x = 512,848.43

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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.