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Finding the Third Proportional to 225,386 and 351,003

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Solution

The third proportional to 225,386 and 351,003 is: 546,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,386 : 351,003 = 351,003 : x
  2. Step 2: Convert to fraction form
    225,386/351,003 = 351,003/x
  3. Step 3: Cross multiply
    225,386x = 351,003 × 351,003
  4. Step 4: Simplify right side
    225,386x = 123,203,106,009
  5. Step 5: Solve for x
    x = 123,203,106,009/225,386
  6. Step 6: Final answer
    x = 546,631.58

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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.