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Finding the Third Proportional to 225,076 and 351,438

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Solution

The third proportional to 225,076 and 351,438 is: 548,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076 : 351,438 = 351,438 : x
  2. Step 2: Convert to fraction form
    225,076/351,438 = 351,438/x
  3. Step 3: Cross multiply
    225,076x = 351,438 × 351,438
  4. Step 4: Simplify right side
    225,076x = 123,508,667,844
  5. Step 5: Solve for x
    x = 123,508,667,844/225,076
  6. Step 6: Final answer
    x = 548,742.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.