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Finding the Third Proportional to 146,614 and 242,628

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Solution

The third proportional to 146,614 and 242,628 is: 401,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,614 : 242,628 = 242,628 : x
  2. Step 2: Convert to fraction form
    146,614/242,628 = 242,628/x
  3. Step 3: Cross multiply
    146,614x = 242,628 × 242,628
  4. Step 4: Simplify right side
    146,614x = 58,868,346,384
  5. Step 5: Solve for x
    x = 58,868,346,384/146,614
  6. Step 6: Final answer
    x = 401,519.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.