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Finding the Third Proportional to 133,395 and 314,886

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Solution

The third proportional to 133,395 and 314,886 is: 743,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,395 : 314,886 = 314,886 : x
  2. Step 2: Convert to fraction form
    133,395/314,886 = 314,886/x
  3. Step 3: Cross multiply
    133,395x = 314,886 × 314,886
  4. Step 4: Simplify right side
    133,395x = 99,153,192,996
  5. Step 5: Solve for x
    x = 99,153,192,996/133,395
  6. Step 6: Final answer
    x = 743,305.17

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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.