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Finding the Third Proportional to 133,398 and 314,894

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Solution

The third proportional to 133,398 and 314,894 is: 743,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398 : 314,894 = 314,894 : x
  2. Step 2: Convert to fraction form
    133,398/314,894 = 314,894/x
  3. Step 3: Cross multiply
    133,398x = 314,894 × 314,894
  4. Step 4: Simplify right side
    133,398x = 99,158,231,236
  5. Step 5: Solve for x
    x = 99,158,231,236/133,398
  6. Step 6: Final answer
    x = 743,326.22

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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.