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Finding the Third Proportional to 193,503 and 455,319

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Solution

The third proportional to 193,503 and 455,319 is: 1,071,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,503 : 455,319 = 455,319 : x
  2. Step 2: Convert to fraction form
    193,503/455,319 = 455,319/x
  3. Step 3: Cross multiply
    193,503x = 455,319 × 455,319
  4. Step 4: Simplify right side
    193,503x = 207,315,391,761
  5. Step 5: Solve for x
    x = 207,315,391,761/193,503
  6. Step 6: Final answer
    x = 1,071,380.76

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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.