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Finding the Third Proportional to 170,912 and 265,326

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Solution

The third proportional to 170,912 and 265,326 is: 411,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912 : 265,326 = 265,326 : x
  2. Step 2: Convert to fraction form
    170,912/265,326 = 265,326/x
  3. Step 3: Cross multiply
    170,912x = 265,326 × 265,326
  4. Step 4: Simplify right side
    170,912x = 70,397,886,276
  5. Step 5: Solve for x
    x = 70,397,886,276/170,912
  6. Step 6: Final answer
    x = 411,895.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.