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Finding the Third Proportional to 225,146 and 356,511

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Solution

The third proportional to 225,146 and 356,511 is: 564,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,146 : 356,511 = 356,511 : x
  2. Step 2: Convert to fraction form
    225,146/356,511 = 356,511/x
  3. Step 3: Cross multiply
    225,146x = 356,511 × 356,511
  4. Step 4: Simplify right side
    225,146x = 127,100,093,121
  5. Step 5: Solve for x
    x = 127,100,093,121/225,146
  6. Step 6: Final answer
    x = 564,522.99

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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.