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Finding the Third Proportional to 150,046 and 327,973

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Solution

The third proportional to 150,046 and 327,973 is: 716,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,046 : 327,973 = 327,973 : x
  2. Step 2: Convert to fraction form
    150,046/327,973 = 327,973/x
  3. Step 3: Cross multiply
    150,046x = 327,973 × 327,973
  4. Step 4: Simplify right side
    150,046x = 107,566,288,729
  5. Step 5: Solve for x
    x = 107,566,288,729/150,046
  6. Step 6: Final answer
    x = 716,888.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.