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Finding the Third Proportional to 170,934 and 265,360.50

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Solution

The third proportional to 170,934 and 265,360.50 is: 411,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,934 : 265,360.50 = 265,360.50 : x
  2. Step 2: Convert to fraction form
    170,934/265,360.50 = 265,360.50/x
  3. Step 3: Cross multiply
    170,934x = 265,360.50 × 265,360.50
  4. Step 4: Simplify right side
    170,934x = 70,416,194,960.25
  5. Step 5: Solve for x
    x = 70,416,194,960.25/170,934
  6. Step 6: Final answer
    x = 411,949.61

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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.