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Finding the Third Proportional to 133,394 and 314,884

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Solution

The third proportional to 133,394 and 314,884 is: 743,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,394 : 314,884 = 314,884 : x
  2. Step 2: Convert to fraction form
    133,394/314,884 = 314,884/x
  3. Step 3: Cross multiply
    133,394x = 314,884 × 314,884
  4. Step 4: Simplify right side
    133,394x = 99,151,933,456
  5. Step 5: Solve for x
    x = 99,151,933,456/133,394
  6. Step 6: Final answer
    x = 743,301.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.