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Finding the Third Proportional to 154,564 and 325,732

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Solution

The third proportional to 154,564 and 325,732 is: 686,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564 : 325,732 = 325,732 : x
  2. Step 2: Convert to fraction form
    154,564/325,732 = 325,732/x
  3. Step 3: Cross multiply
    154,564x = 325,732 × 325,732
  4. Step 4: Simplify right side
    154,564x = 106,101,335,824
  5. Step 5: Solve for x
    x = 106,101,335,824/154,564
  6. Step 6: Final answer
    x = 686,455.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.