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Finding the Third Proportional to 164,038 and 215,394

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Solution

The third proportional to 164,038 and 215,394 is: 282,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,038 : 215,394 = 215,394 : x
  2. Step 2: Convert to fraction form
    164,038/215,394 = 215,394/x
  3. Step 3: Cross multiply
    164,038x = 215,394 × 215,394
  4. Step 4: Simplify right side
    164,038x = 46,394,575,236
  5. Step 5: Solve for x
    x = 46,394,575,236/164,038
  6. Step 6: Final answer
    x = 282,828.22

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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.