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Finding the Third Proportional to 146,189 and 314,937

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Solution

The third proportional to 146,189 and 314,937 is: 678,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,189 : 314,937 = 314,937 : x
  2. Step 2: Convert to fraction form
    146,189/314,937 = 314,937/x
  3. Step 3: Cross multiply
    146,189x = 314,937 × 314,937
  4. Step 4: Simplify right side
    146,189x = 99,185,313,969
  5. Step 5: Solve for x
    x = 99,185,313,969/146,189
  6. Step 6: Final answer
    x = 678,473.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.