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Finding the Third Proportional to 193,506 and 455,325

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Solution

The third proportional to 193,506 and 455,325 is: 1,071,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,506 : 455,325 = 455,325 : x
  2. Step 2: Convert to fraction form
    193,506/455,325 = 455,325/x
  3. Step 3: Cross multiply
    193,506x = 455,325 × 455,325
  4. Step 4: Simplify right side
    193,506x = 207,320,855,625
  5. Step 5: Solve for x
    x = 207,320,855,625/193,506
  6. Step 6: Final answer
    x = 1,071,392.39

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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.