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Finding the Third Proportional to 133,506 and 207,918

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Solution

The third proportional to 133,506 and 207,918 is: 323,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506 : 207,918 = 207,918 : x
  2. Step 2: Convert to fraction form
    133,506/207,918 = 207,918/x
  3. Step 3: Cross multiply
    133,506x = 207,918 × 207,918
  4. Step 4: Simplify right side
    133,506x = 43,229,894,724
  5. Step 5: Solve for x
    x = 43,229,894,724/133,506
  6. Step 6: Final answer
    x = 323,804.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.