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Finding the Third Proportional to 149,862 and 320,979

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Solution

The third proportional to 149,862 and 320,979 is: 687,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,862 : 320,979 = 320,979 : x
  2. Step 2: Convert to fraction form
    149,862/320,979 = 320,979/x
  3. Step 3: Cross multiply
    149,862x = 320,979 × 320,979
  4. Step 4: Simplify right side
    149,862x = 103,027,518,441
  5. Step 5: Solve for x
    x = 103,027,518,441/149,862
  6. Step 6: Final answer
    x = 687,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.