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Finding the Third Proportional to 221,463 and 343,575

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Solution

The third proportional to 221,463 and 343,575 is: 533,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,463 : 343,575 = 343,575 : x
  2. Step 2: Convert to fraction form
    221,463/343,575 = 343,575/x
  3. Step 3: Cross multiply
    221,463x = 343,575 × 343,575
  4. Step 4: Simplify right side
    221,463x = 118,043,780,625
  5. Step 5: Solve for x
    x = 118,043,780,625/221,463
  6. Step 6: Final answer
    x = 533,018.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.