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Finding the Third Proportional to 146,859 and 317,046

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Solution

The third proportional to 146,859 and 317,046 is: 684,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,859 : 317,046 = 317,046 : x
  2. Step 2: Convert to fraction form
    146,859/317,046 = 317,046/x
  3. Step 3: Cross multiply
    146,859x = 317,046 × 317,046
  4. Step 4: Simplify right side
    146,859x = 100,518,166,116
  5. Step 5: Solve for x
    x = 100,518,166,116/146,859
  6. Step 6: Final answer
    x = 684,453.57

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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.