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Finding the Third Proportional to 225,076 and 356,406

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Solution

The third proportional to 225,076 and 356,406 is: 564,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076 : 356,406 = 356,406 : x
  2. Step 2: Convert to fraction form
    225,076/356,406 = 356,406/x
  3. Step 3: Cross multiply
    225,076x = 356,406 × 356,406
  4. Step 4: Simplify right side
    225,076x = 127,025,236,836
  5. Step 5: Solve for x
    x = 127,025,236,836/225,076
  6. Step 6: Final answer
    x = 564,365.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.