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Finding the Third Proportional to 103,545 and 221,844

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Solution

The third proportional to 103,545 and 221,844 is: 475,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,545 : 221,844 = 221,844 : x
  2. Step 2: Convert to fraction form
    103,545/221,844 = 221,844/x
  3. Step 3: Cross multiply
    103,545x = 221,844 × 221,844
  4. Step 4: Simplify right side
    103,545x = 49,214,760,336
  5. Step 5: Solve for x
    x = 49,214,760,336/103,545
  6. Step 6: Final answer
    x = 475,298.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.