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Finding the Third Proportional to 163,124 and 229,712

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Solution

The third proportional to 163,124 and 229,712 is: 323,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,124 : 229,712 = 229,712 : x
  2. Step 2: Convert to fraction form
    163,124/229,712 = 229,712/x
  3. Step 3: Cross multiply
    163,124x = 229,712 × 229,712
  4. Step 4: Simplify right side
    163,124x = 52,767,602,944
  5. Step 5: Solve for x
    x = 52,767,602,944/163,124
  6. Step 6: Final answer
    x = 323,481.54

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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.