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Finding the Third Proportional to 64,186 and 154,628

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Solution

The third proportional to 64,186 and 154,628 is: 372,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,186 : 154,628 = 154,628 : x
  2. Step 2: Convert to fraction form
    64,186/154,628 = 154,628/x
  3. Step 3: Cross multiply
    64,186x = 154,628 × 154,628
  4. Step 4: Simplify right side
    64,186x = 23,909,818,384
  5. Step 5: Solve for x
    x = 23,909,818,384/64,186
  6. Step 6: Final answer
    x = 372,508.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.