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Finding the Third Proportional to 163,154 and 229,758

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Solution

The third proportional to 163,154 and 229,758 is: 323,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,154 : 229,758 = 229,758 : x
  2. Step 2: Convert to fraction form
    163,154/229,758 = 229,758/x
  3. Step 3: Cross multiply
    163,154x = 229,758 × 229,758
  4. Step 4: Simplify right side
    163,154x = 52,788,738,564
  5. Step 5: Solve for x
    x = 52,788,738,564/163,154
  6. Step 6: Final answer
    x = 323,551.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.