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Finding the Third Proportional to 152,906.25 and 325,494.75

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Solution

The third proportional to 152,906.25 and 325,494.75 is: 692,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,906.25 : 325,494.75 = 325,494.75 : x
  2. Step 2: Convert to fraction form
    152,906.25/325,494.75 = 325,494.75/x
  3. Step 3: Cross multiply
    152,906.25x = 325,494.75 × 325,494.75
  4. Step 4: Simplify right side
    152,906.25x = 105,946,832,277.56
  5. Step 5: Solve for x
    x = 105,946,832,277.56/152,906.25
  6. Step 6: Final answer
    x = 692,887.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.