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Finding the Third Proportional to 154,564 and 325,733

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Solution

The third proportional to 154,564 and 325,733 is: 686,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564 : 325,733 = 325,733 : x
  2. Step 2: Convert to fraction form
    154,564/325,733 = 325,733/x
  3. Step 3: Cross multiply
    154,564x = 325,733 × 325,733
  4. Step 4: Simplify right side
    154,564x = 106,101,987,289
  5. Step 5: Solve for x
    x = 106,101,987,289/154,564
  6. Step 6: Final answer
    x = 686,459.90

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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.