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Finding the Third Proportional to 163,088 and 229,663

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Solution

The third proportional to 163,088 and 229,663 is: 323,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,088 : 229,663 = 229,663 : x
  2. Step 2: Convert to fraction form
    163,088/229,663 = 229,663/x
  3. Step 3: Cross multiply
    163,088x = 229,663 × 229,663
  4. Step 4: Simplify right side
    163,088x = 52,745,093,569
  5. Step 5: Solve for x
    x = 52,745,093,569/163,088
  6. Step 6: Final answer
    x = 323,414.93

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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.