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Finding the Third Proportional to 147,008.25 and 322,035.75

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Solution

The third proportional to 147,008.25 and 322,035.75 is: 705,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,008.25 : 322,035.75 = 322,035.75 : x
  2. Step 2: Convert to fraction form
    147,008.25/322,035.75 = 322,035.75/x
  3. Step 3: Cross multiply
    147,008.25x = 322,035.75 × 322,035.75
  4. Step 4: Simplify right side
    147,008.25x = 103,707,024,278.06
  5. Step 5: Solve for x
    x = 103,707,024,278.06/147,008.25
  6. Step 6: Final answer
    x = 705,450.37

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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.