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Finding the Third Proportional to 228,410 and 351,351

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Solution

The third proportional to 228,410 and 351,351 is: 540,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410 : 351,351 = 351,351 : x
  2. Step 2: Convert to fraction form
    228,410/351,351 = 351,351/x
  3. Step 3: Cross multiply
    228,410x = 351,351 × 351,351
  4. Step 4: Simplify right side
    228,410x = 123,447,525,201
  5. Step 5: Solve for x
    x = 123,447,525,201/228,410
  6. Step 6: Final answer
    x = 540,464.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.