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Finding the Third Proportional to 146,834 and 310,840

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Solution

The third proportional to 146,834 and 310,840 is: 658,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,834 : 310,840 = 310,840 : x
  2. Step 2: Convert to fraction form
    146,834/310,840 = 310,840/x
  3. Step 3: Cross multiply
    146,834x = 310,840 × 310,840
  4. Step 4: Simplify right side
    146,834x = 96,621,505,600
  5. Step 5: Solve for x
    x = 96,621,505,600/146,834
  6. Step 6: Final answer
    x = 658,032.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.