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Finding the Third Proportional to 133,369 and 314,816

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Solution

The third proportional to 133,369 and 314,816 is: 743,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,369 : 314,816 = 314,816 : x
  2. Step 2: Convert to fraction form
    133,369/314,816 = 314,816/x
  3. Step 3: Cross multiply
    133,369x = 314,816 × 314,816
  4. Step 4: Simplify right side
    133,369x = 99,109,113,856
  5. Step 5: Solve for x
    x = 99,109,113,856/133,369
  6. Step 6: Final answer
    x = 743,119.57

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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.