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Finding the Third Proportional to 146,936 and 316,768

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Solution

The third proportional to 146,936 and 316,768 is: 682,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,936 : 316,768 = 316,768 : x
  2. Step 2: Convert to fraction form
    146,936/316,768 = 316,768/x
  3. Step 3: Cross multiply
    146,936x = 316,768 × 316,768
  4. Step 4: Simplify right side
    146,936x = 100,341,965,824
  5. Step 5: Solve for x
    x = 100,341,965,824/146,936
  6. Step 6: Final answer
    x = 682,895.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.