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Finding the Third Proportional to 151,824.38 and 322,329.75

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Solution

The third proportional to 151,824.38 and 322,329.75 is: 684,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,824.38 : 322,329.75 = 322,329.75 : x
  2. Step 2: Convert to fraction form
    151,824.38/322,329.75 = 322,329.75/x
  3. Step 3: Cross multiply
    151,824.38x = 322,329.75 × 322,329.75
  4. Step 4: Simplify right side
    151,824.38x = 103,896,467,735.06
  5. Step 5: Solve for x
    x = 103,896,467,735.06/151,824.38
  6. Step 6: Final answer
    x = 684,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.