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Finding the Third Proportional to 146,888 and 317,098

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Solution

The third proportional to 146,888 and 317,098 is: 684,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,888 : 317,098 = 317,098 : x
  2. Step 2: Convert to fraction form
    146,888/317,098 = 317,098/x
  3. Step 3: Cross multiply
    146,888x = 317,098 × 317,098
  4. Step 4: Simplify right side
    146,888x = 100,551,141,604
  5. Step 5: Solve for x
    x = 100,551,141,604/146,888
  6. Step 6: Final answer
    x = 684,542.93

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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.