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Finding the Third Proportional to 173,032 and 221,106

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Solution

The third proportional to 173,032 and 221,106 is: 282,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,032 : 221,106 = 221,106 : x
  2. Step 2: Convert to fraction form
    173,032/221,106 = 221,106/x
  3. Step 3: Cross multiply
    173,032x = 221,106 × 221,106
  4. Step 4: Simplify right side
    173,032x = 48,887,863,236
  5. Step 5: Solve for x
    x = 48,887,863,236/173,032
  6. Step 6: Final answer
    x = 282,536.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.