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Finding the Third Proportional to 146,216 and 314,189

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Solution

The third proportional to 146,216 and 314,189 is: 675,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216 : 314,189 = 314,189 : x
  2. Step 2: Convert to fraction form
    146,216/314,189 = 314,189/x
  3. Step 3: Cross multiply
    146,216x = 314,189 × 314,189
  4. Step 4: Simplify right side
    146,216x = 98,714,727,721
  5. Step 5: Solve for x
    x = 98,714,727,721/146,216
  6. Step 6: Final answer
    x = 675,129.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.