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Finding the Third Proportional to 164,288 and 353,113

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Solution

The third proportional to 164,288 and 353,113 is: 758,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288 : 353,113 = 353,113 : x
  2. Step 2: Convert to fraction form
    164,288/353,113 = 353,113/x
  3. Step 3: Cross multiply
    164,288x = 353,113 × 353,113
  4. Step 4: Simplify right side
    164,288x = 124,688,790,769
  5. Step 5: Solve for x
    x = 124,688,790,769/164,288
  6. Step 6: Final answer
    x = 758,964.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.