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Finding the Third Proportional to 149,444 and 322,501

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Solution

The third proportional to 149,444 and 322,501 is: 695,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,444 : 322,501 = 322,501 : x
  2. Step 2: Convert to fraction form
    149,444/322,501 = 322,501/x
  3. Step 3: Cross multiply
    149,444x = 322,501 × 322,501
  4. Step 4: Simplify right side
    149,444x = 104,006,895,001
  5. Step 5: Solve for x
    x = 104,006,895,001/149,444
  6. Step 6: Final answer
    x = 695,958.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.