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Finding the Third Proportional to 193,560.75 and 455,465.25

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Solution

The third proportional to 193,560.75 and 455,465.25 is: 1,071,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,560.75 : 455,465.25 = 455,465.25 : x
  2. Step 2: Convert to fraction form
    193,560.75/455,465.25 = 455,465.25/x
  3. Step 3: Cross multiply
    193,560.75x = 455,465.25 × 455,465.25
  4. Step 4: Simplify right side
    193,560.75x = 207,448,593,957.56
  5. Step 5: Solve for x
    x = 207,448,593,957.56/193,560.75
  6. Step 6: Final answer
    x = 1,071,749.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.