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Finding the Third Proportional to 146,365 and 304,214

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Solution

The third proportional to 146,365 and 304,214 is: 632,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,365 : 304,214 = 304,214 : x
  2. Step 2: Convert to fraction form
    146,365/304,214 = 304,214/x
  3. Step 3: Cross multiply
    146,365x = 304,214 × 304,214
  4. Step 4: Simplify right side
    146,365x = 92,546,157,796
  5. Step 5: Solve for x
    x = 92,546,157,796/146,365
  6. Step 6: Final answer
    x = 632,297.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.