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Finding the Third Proportional to 154,522 and 320,886

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Solution

The third proportional to 154,522 and 320,886 is: 666,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,522 : 320,886 = 320,886 : x
  2. Step 2: Convert to fraction form
    154,522/320,886 = 320,886/x
  3. Step 3: Cross multiply
    154,522x = 320,886 × 320,886
  4. Step 4: Simplify right side
    154,522x = 102,967,824,996
  5. Step 5: Solve for x
    x = 102,967,824,996/154,522
  6. Step 6: Final answer
    x = 666,363.53

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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.