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Finding the Third Proportional to 170,932 and 265,360

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Solution

The third proportional to 170,932 and 265,360 is: 411,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,932 : 265,360 = 265,360 : x
  2. Step 2: Convert to fraction form
    170,932/265,360 = 265,360/x
  3. Step 3: Cross multiply
    170,932x = 265,360 × 265,360
  4. Step 4: Simplify right side
    170,932x = 70,415,929,600
  5. Step 5: Solve for x
    x = 70,415,929,600/170,932
  6. Step 6: Final answer
    x = 411,952.88

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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.