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Finding the Third Proportional to 146,007 and 310,833

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Solution

The third proportional to 146,007 and 310,833 is: 661,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,007 : 310,833 = 310,833 : x
  2. Step 2: Convert to fraction form
    146,007/310,833 = 310,833/x
  3. Step 3: Cross multiply
    146,007x = 310,833 × 310,833
  4. Step 4: Simplify right side
    146,007x = 96,617,153,889
  5. Step 5: Solve for x
    x = 96,617,153,889/146,007
  6. Step 6: Final answer
    x = 661,729.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.