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Finding the Third Proportional to 164,027 and 215,382

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Solution

The third proportional to 164,027 and 215,382 is: 282,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027 : 215,382 = 215,382 : x
  2. Step 2: Convert to fraction form
    164,027/215,382 = 215,382/x
  3. Step 3: Cross multiply
    164,027x = 215,382 × 215,382
  4. Step 4: Simplify right side
    164,027x = 46,389,405,924
  5. Step 5: Solve for x
    x = 46,389,405,924/164,027
  6. Step 6: Final answer
    x = 282,815.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.